479765165040 has 240 divisors, whose sum is σ = 1938299750400. Its totient is φ = 103888977408.

The previous prime is 479765165029. The next prime is 479765165041. The reversal of 479765165040 is 40561567974.

479765165040 is a `hidden beast` number, since 4 + 7 + 9 + 76 + 516 + 50 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×479765165040² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479765165041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2409280 + ... + 2600799.

It is an arithmetic number, because the mean of its divisors is an integer number (8076248960).

Almost surely, 2^479765165040 is an apocalyptic number.

479765165040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

479765165040 is an abundant number, since it is smaller than the sum of its proper divisors (1458534585360).

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

479765165040 is a wasteful number, since it uses less digits than its factorization.

479765165040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5010124 (or 5010115 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 479765165040 in words is "four hundred seventy-nine billion, seven hundred sixty-five million, one hundred sixty-five thousand, forty".