407431996416 has 297 divisors, whose sum is σ = 1207126931283. Its totient is φ = 132358717440.

The previous prime is 407431996399. The next prime is 407431996483. The reversal of 407431996416 is 614699134704.

The square root of 407431996416 is 638304.

It is a perfect power (a square), and thus also a powerful number.

407431996416 is a `hidden beast` number, since 40 + 74 + 31 + 9 + 96 + 416 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62252246016 + 345179750400 = 249504^2 + 587520^2 .

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 26 ways as a sum of consecutive naturals, for example, 3737908170 + ... + 3737908278.

Almost surely, 2^407431996416 is an apocalyptic number.

407431996416 is the 638304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407431996416

407431996416 is an abundant number, since it is smaller than the sum of its proper divisors (799694934867).

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

407431996416 is an equidigital number, since it uses as much as digits as its factorization.

407431996416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 407431996416 in words is "four hundred seven billion, four hundred thirty-one million, nine hundred ninety-six thousand, four hundred sixteen".