407042396712 has 72 divisors (see below), whose sum is σ = 1282391235450. Its totient is φ = 116297826624.

The previous prime is 407042396711. The next prime is 407042396737. The reversal of 407042396712 is 217693240704.

407042396712 is a `hidden beast` number, since 4 + 0 + 70 + 423 + 96 + 71 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 244912152996 + 162130243716 = 494886^2 + 402654^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (407042396711) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57683887 + ... + 57690942.

Almost surely, 2^407042396712 is an apocalyptic number.

407042396712 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

407042396712 is an abundant number, since it is smaller than the sum of its proper divisors (875348838738).

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

407042396712 is a wasteful number, since it uses less digits than its factorization.

407042396712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115374855 (or 115374841 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 407042396712 in words is "four hundred seven billion, forty-two million, three hundred ninety-six thousand, seven hundred twelve".