407314556944 has 15 divisors (see below), whose sum is σ = 789176900253. Its totient is φ = 203656002048.

The previous prime is 407314556917. The next prime is 407314556977. The reversal of 407314556944 is 449655413704.

The square root of 407314556944 is 638212.

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

It can be written as a sum of positive squares in only one way, i.e., 248821392400 + 158493164544 = 498820^2 + 398112^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 407314556891 and 407314556900.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2473072 + ... + 2632624.

Almost surely, 2^407314556944 is an apocalyptic number.

407314556944 is the 638212-nd square number.

It is an amenable number.

407314556944 is a deficient number, since it is larger than the sum of its proper divisors (381862343309).

407314556944 is an frugal number, since it uses more digits than its factorization.

407314556944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319114 (or 159555 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 52.

The spelling of 407314556944 in words is "four hundred seven billion, three hundred fourteen million, five hundred fifty-six thousand, nine hundred forty-four".