479429065440 has 576 divisors, whose sum is σ = 1809593472960. Its totient is φ = 114834309120.

The previous prime is 479429065439. The next prime is 479429065459. The reversal of 479429065440 is 44560924974.

479429065440 is a `hidden beast` number, since 4 + 7 + 9 + 4 + 2 + 90 + 6 + 544 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 470489251 + ... + 470490269.

It is an arithmetic number, because the mean of its divisors is an integer number (3141655335).

Almost surely, 2^479429065440 is an apocalyptic number.

479429065440 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 479429065440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904796736480).

479429065440 is an abundant number, since it is smaller than the sum of its proper divisors (1330164407520).

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

479429065440 is a wasteful number, since it uses less digits than its factorization.

479429065440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 479429065440 in words is "four hundred seventy-nine billion, four hundred twenty-nine million, sixty-five thousand, four hundred forty".