400507432479 has 96 divisors (see below), whose sum is σ = 744254784000. Its totient is φ = 205716551040.

The previous prime is 400507432471. The next prime is 400507432487. The reversal of 400507432479 is 974234705004.

400507432479 is a `hidden beast` number, since 40 + 0 + 507 + 4 + 32 + 4 + 79 = 666.

It is an interprime number because it is at equal distance from previous prime (400507432471) and next prime (400507432487).

It is not a de Polignac number, because 400507432479 - 2³ = 400507432471 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400507432471) 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 95 ways as a sum of consecutive naturals, for example, 2955912 + ... + 3088434.

It is an arithmetic number, because the mean of its divisors is an integer number (7752654000).

Almost surely, 2^400507432479 is an apocalyptic number.

400507432479 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

400507432479 is a deficient number, since it is larger than the sum of its proper divisors (343747351521).

400507432479 is a wasteful number, since it uses less digits than its factorization.

400507432479 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132650 (or 132633 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 400507432479 in words is "four hundred billion, five hundred seven million, four hundred thirty-two thousand, four hundred seventy-nine".