404004007407 has 64 divisors (see below), whose sum is σ = 738012441600. Its totient is φ = 193728124800.

The previous prime is 404004007373. The next prime is 404004007411. The reversal of 404004007407 is 704700400404.

It is not a de Polignac number, because 404004007407 - 2¹¹ = 404004005359 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404004007417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1225644 + ... + 1519937.

It is an arithmetic number, because the mean of its divisors is an integer number (11531444400).

Almost surely, 2^404004007407 is an apocalyptic number.

404004007407 is a deficient number, since it is larger than the sum of its proper divisors (334008434193).

404004007407 is a wasteful number, since it uses less digits than its factorization.

404004007407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2745629 (or 2745615 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 30.

The spelling of 404004007407 in words is "four hundred four billion, four million, seven thousand, four hundred seven".