400405406680 has 32 divisors (see below), whose sum is σ = 900930180240. Its totient is φ = 160158960000.

The previous prime is 400405406659. The next prime is 400405406701. The reversal of 400405406680 is 86604504004.

It is an interprime number because it is at equal distance from previous prime (400405406659) and next prime (400405406701).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3848707 + ... + 3951373.

Almost surely, 2^400405406680 is an apocalyptic number.

400405406680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400405406680 is an abundant number, since it is smaller than the sum of its proper divisors (500524773560).

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

400405406680 is a wasteful number, since it uses less digits than its factorization.

400405406680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200179 (or 200175 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

It can be divided in two parts, 400405 and 406680, that added together give a triangular number (807085 = T₁₂₇₀).

The spelling of 400405406680 in words is "four hundred billion, four hundred five million, four hundred six thousand, six hundred eighty".