407879440128 has 54 divisors (see below), whose sum is σ = 1176016986144. Its totient is φ = 135959812608.

The previous prime is 407879440109. The next prime is 407879440223. The reversal of 407879440128 is 821044978704.

407879440128 is a `hidden beast` number, since 4 + 0 + 7 + 8 + 79 + 440 + 128 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 88513200 + ... + 88517807.

It is an arithmetic number, because the mean of its divisors is an integer number (21778092336).

Almost surely, 2^407879440128 is an apocalyptic number.

407879440128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

407879440128 is an abundant number, since it is smaller than the sum of its proper divisors (768137546016).

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

407879440128 is a wasteful number, since it uses less digits than its factorization.

407879440128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177031029 (or 177031012 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 407879440128 in words is "four hundred seven billion, eight hundred seventy-nine million, four hundred forty thousand, one hundred twenty-eight".