479557297440 has 1728 divisors, whose sum is σ = 2033037377280. Its totient is φ = 101822054400.

The previous prime is 479557297393. The next prime is 479557297487. The reversal of 479557297440 is 44792755974.

479557297440 is a `hidden beast` number, since 4 + 7 + 9 + 557 + 2 + 9 + 74 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (479557297393) and next prime (479557297487).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7861595010 + ... + 7861595070.

It is an arithmetic number, because the mean of its divisors is an integer number (1176526260).

Almost surely, 2^479557297440 is an apocalyptic number.

479557297440 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 479557297440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016518688640).

479557297440 is an abundant number, since it is smaller than the sum of its proper divisors (1553480079840).

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

479557297440 is a wasteful number, since it uses less digits than its factorization.

479557297440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 63.

The spelling of 479557297440 in words is "four hundred seventy-nine billion, five hundred fifty-seven million, two hundred ninety-seven thousand, four hundred forty".