404070007407 has 64 divisors (see below), whose sum is σ = 607735554048. Its totient is φ = 236653056000.

The previous prime is 404070007403. The next prime is 404070007423. The reversal of 404070007407 is 704700070404.

It is not a de Polignac number, because 404070007407 - 2² = 404070007403 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404070007403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 238107583 + ... + 238109279.

It is an arithmetic number, because the mean of its divisors is an integer number (9495868032).

Almost surely, 2^404070007407 is an apocalyptic number.

404070007407 is a deficient number, since it is larger than the sum of its proper divisors (203665546641).

404070007407 is a wasteful number, since it uses less digits than its factorization.

404070007407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960.

The product of its (nonzero) digits is 21952, while the sum is 33.

The spelling of 404070007407 in words is "four hundred four billion, seventy million, seven thousand, four hundred seven".