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41204023440 = 24352314335209
BaseRepresentation
bin100110010111111100…
…111000000010010000
310221100120122021011020
4212113330320002100
51133341212222230
630532345115440
72656034264136
oct462774700220
9127316567136
1041204023440
1116524662738
127b9b188b80
133b68655178
141dcc467756
151112569810
hex997f38090

41204023440 has 160 divisors (see below), whose sum is σ = 133404675840. Its totient is φ = 10500661248.

The previous prime is 41204023433. The next prime is 41204023451. The reversal of 41204023440 is 4432040214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41204023440.

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, 7907556 + ... + 7912764.

It is an arithmetic number, because the mean of its divisors is an integer number (833779224).

Almost surely, 241204023440 is an apocalyptic number.

41204023440 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 41204023440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66702337920).

41204023440 is an abundant number, since it is smaller than the sum of its proper divisors (92200652400).

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

41204023440 is a wasteful number, since it uses less digits than its factorization.

41204023440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6681 (or 6675 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 41204023440 its reverse (4432040214), we get a palindrome (45636063654).

The spelling of 41204023440 in words is "forty-one billion, two hundred four million, twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1433 1840 2760 2866 4299 5209 5520 5732 7165 8598 10418 11464 14330 15627 17196 20836 21495 22928 26045 28660 31254 32959 34392 41672 42990 52090 57320 62508 65918 68784 78135 83344 85980 98877 104180 114640 119807 125016 131836 156270 164795 171960 197754 208360 239614 250032 263672 312540 329590 343920 359421 395508 416720 479228 494385 527344 599035 625080 659180 718842 791016 958456 988770 1198070 1250160 1318360 1437684 1582032 1797105 1916912 1977540 2396140 2636720 2875368 3594210 3955080 4792280 5750736 7188420 7464497 7910160 9584560 14376840 14928994 22393491 28753680 29857988 37322485 44786982 59715976 74644970 89573964 111967455 119431952 149289940 171683431 179147928 223934910 298579880 343366862 358295856 447869820 515050293 597159760 686733724 858417155 895739640 1030100586 1373467448 1716834310 1791479280 2060201172 2575251465 2746934896 3433668620 4120402344 5150502930 6867337240 8240804688 10301005860 13734674480 20602011720 41204023440