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41001043440 = 2435724405383
BaseRepresentation
bin100110001011110110…
…100100010111110000
310220211102200210221110
4212023312210113300
51132432231342230
630500254353320
72651021055540
oct461366442760
9126742623843
1041001043440
1116430024875
127b431bb840
133b35596666
141dad50b320
1510ee8224b0
hex98bda45f0

41001043440 has 80 divisors (see below), whose sum is σ = 145260845568. Its totient is φ = 9371666688.

The previous prime is 41001043397. The next prime is 41001043441. The reversal of 41001043440 is 4434010014.

41001043440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41001043441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12201012 + ... + 12204371.

Almost surely, 241001043440 is an apocalyptic number.

41001043440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41001043440 is an abundant number, since it is smaller than the sum of its proper divisors (104259802128).

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

41001043440 is a wasteful number, since it uses less digits than its factorization.

41001043440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24405406 (or 24405400 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 41001043440 its reverse (4434010014), we get a palindrome (45435053454).

The spelling of 41001043440 in words is "forty-one billion, one million, forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 24405383 48810766 73216149 97621532 122026915 146432298 170837681 195243064 244053830 292864596 341675362 366080745 390486128 488107660 512513043 585729192 683350724 732161490 854188405 976215320 1025026086 1171458384 1366701448 1464322980 1708376810 1952430640 2050052172 2562565215 2733402896 2928645960 3416753620 4100104344 5125130430 5857291920 6833507240 8200208688 10250260860 13667014480 20500521720 41001043440