407072712816 has 360 divisors, whose sum is σ = 1460336914400. Its totient is φ = 105731619840.

The previous prime is 407072712779. The next prime is 407072712841. The reversal of 407072712816 is 618217270704.

407072712816 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×407072712816² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5942376 + ... + 6010488.

Almost surely, 2^407072712816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407072712816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730168457200).

407072712816 is an abundant number, since it is smaller than the sum of its proper divisors (1053264201584).

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

407072712816 is a wasteful number, since it uses less digits than its factorization.

407072712816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68170 (or 68136 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 407072712816 in words is "four hundred seven billion, seventy-two million, seven hundred twelve thousand, eight hundred sixteen".