407080096768 has 44 divisors (see below), whose sum is σ = 833610609972. Its totient is φ = 198575636480.

The previous prime is 407080096741. The next prime is 407080096817. The reversal of 407080096768 is 867690080704.

It can be written as a sum of positive squares in 2 ways, for example, as 219653443584 + 187426653184 = 468672^2 + 432928^2 .

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 3 ways as a sum of consecutive naturals, for example, 4806055 + ... + 4890022.

Almost surely, 2^407080096768 is an apocalyptic number.

It is an amenable number.

407080096768 is an abundant number, since it is smaller than the sum of its proper divisors (426530513204).

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

407080096768 is an equidigital number, since it uses as much as digits as its factorization.

407080096768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9696138 (or 9696120 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 55.

The spelling of 407080096768 in words is "four hundred seven billion, eighty million, ninety-six thousand, seven hundred sixty-eight".