407934916704 has 144 divisors (see below), whose sum is σ = 1356621057792. Its totient is φ = 113842278144.

The previous prime is 407934916681. The next prime is 407934916709. The reversal of 407934916704 is 407619439704.

407934916704 is a `hidden beast` number, since 4 + 0 + 7 + 93 + 491 + 67 + 0 + 4 = 666.

407934916704 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407934916709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2266204 + ... + 2439579.

It is an arithmetic number, because the mean of its divisors is an integer number (9420979568).

Almost surely, 2^407934916704 is an apocalyptic number.

It is an amenable number.

407934916704 is an abundant number, since it is smaller than the sum of its proper divisors (948686141088).

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

407934916704 is a wasteful number, since it uses less digits than its factorization.

407934916704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4705849 (or 4705838 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 407934916704 in words is "four hundred seven billion, nine hundred thirty-four million, nine hundred sixteen thousand, seven hundred four".