478981865269440 has 168 divisors, whose sum is σ = 1774228659407568. Its totient is φ = 117903228364800.

The previous prime is 478981865269387. The next prime is 478981865269459. The reversal of 478981865269440 is 44962568189874.

478981865269440 is a `hidden beast` number, since 4 + 7 + 8 + 9 + 8 + 1 + 86 + 526 + 9 + 4 + 4 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 478981865269440.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6396622086 + ... + 6396696965.

It is an arithmetic number, because the mean of its divisors is an integer number (10560884877426).

Almost surely, 2^{478981865269440} is an apocalyptic number.

478981865269440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

478981865269440 is an abundant number, since it is smaller than the sum of its proper divisors (1295246794138128).

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

478981865269440 is a wasteful number, since it uses less digits than its factorization.

478981865269440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12793319087 (or 12793319074 counting only the distinct ones).

The product of its (nonzero) digits is 6688604160, while the sum is 81.

The spelling of 478981865269440 in words is "four hundred seventy-eight trillion, nine hundred eighty-one billion, eight hundred sixty-five million, two hundred sixty-nine thousand, four hundred forty".