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40435241040 = 24335139913381
BaseRepresentation
bin100101101010001000…
…001101000001010000
310212101000001001222000
4211222020031001100
51130302410203130
630324203314000
72631010610055
oct455210150120
9125330031860
1040435241040
111616a704087
127a0581b900
133a752b253c
141d5830702c
1510b9d0c260
hex96a20d050

40435241040 has 160 divisors (see below), whose sum is σ = 139386912000. Its totient is φ = 10774218240.

The previous prime is 40435241029. The next prime is 40435241083. The reversal of 40435241040 is 4014253404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 40435240995 and 40435241013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3015150 + ... + 3028530.

It is an arithmetic number, because the mean of its divisors is an integer number (871168200).

Almost surely, 240435241040 is an apocalyptic number.

40435241040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40435241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69693456000).

40435241040 is an abundant number, since it is smaller than the sum of its proper divisors (98951670960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40435241040 is a wasteful number, since it uses less digits than its factorization.

40435241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14802 (or 14790 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 40435241040 its reverse (4014253404), we get a palindrome (44449494444).

The spelling of 40435241040 in words is "forty billion, four hundred thirty-five million, two hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 1399 2160 2798 4197 5596 6995 8394 11192 12591 13381 13990 16788 20985 22384 25182 26762 27980 33576 37773 40143 41970 50364 53524 55960 62955 66905 67152 75546 80286 83940 100728 107048 111920 120429 125910 133810 151092 160572 167880 188865 200715 201456 214096 240858 251820 267620 302184 321144 335760 361287 377730 401430 481716 503640 535240 602145 604368 642288 722574 755460 802860 963432 1007280 1070480 1204290 1445148 1510920 1605720 1806435 1926864 2408580 2890296 3021840 3211440 3612870 4817160 5780592 7225740 9634320 14451480 18720019 28902960 37440038 56160057 74880076 93600095 112320114 149760152 168480171 187200190 224640228 280800285 299520304 336960342 374400380 449280456 505440513 561600570 673920684 748800760 842400855 898560912 1010881026 1123201140 1347841368 1497601520 1684801710 2021762052 2246402280 2527202565 2695682736 3369603420 4043524104 4492804560 5054405130 6739206840 8087048208 10108810260 13478413680 20217620520 40435241040