407656656704 has 112 divisors (see below), whose sum is σ = 899167193280. Its totient is φ = 181817180160.

The previous prime is 407656656613. The next prime is 407656656707.

407656656704 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 407656656704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407656656707) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12105362 + ... + 12138990.

Almost surely, 2^407656656704 is an apocalyptic number.

407656656704 is a gapful number since it is divisible by the number (44) 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 407656656704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449583596640).

407656656704 is an abundant number, since it is smaller than the sum of its proper divisors (491510536576).

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

407656656704 is a wasteful number, since it uses less digits than its factorization.

407656656704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33976 (or 33966 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 56.

The spelling of 407656656704 in words is "four hundred seven billion, six hundred fifty-six million, six hundred fifty-six thousand, seven hundred four".