407048075772864 has 56 divisors (see below), whose sum is σ = 1076989422108288. Its totient is φ = 135681677126400.

The previous prime is 407048075772853. The next prime is 407048075772887. The reversal of 407048075772864 is 468277570840704.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18030709 + ... + 33752075.

Almost surely, 2^{407048075772864} is an apocalyptic number.

It is an amenable number.

407048075772864 is an abundant number, since it is smaller than the sum of its proper divisors (669941346335424).

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

407048075772864 is a wasteful number, since it uses less digits than its factorization.

407048075772864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15856233 (or 15856223 counting only the distinct ones).

The product of its (nonzero) digits is 590069760, while the sum is 69.

The spelling of 407048075772864 in words is "four hundred seven trillion, forty-eight billion, seventy-five million, seven hundred seventy-two thousand, eight hundred sixty-four".