406165036400 has 60 divisors (see below), whose sum is σ = 975915058272. Its totient is φ = 162448773120.

The previous prime is 406165036399. The next prime is 406165036451. The reversal of 406165036400 is 4630561604.

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 11 ways as a sum of consecutive naturals, for example, 4124537 + ... + 4221863.

Almost surely, 2^406165036400 is an apocalyptic number.

406165036400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406165036400 is an abundant number, since it is smaller than the sum of its proper divisors (569750021872).

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

406165036400 is a wasteful number, since it uses less digits than its factorization.

406165036400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107778 (or 107767 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 406165036400 in words is "four hundred six billion, one hundred sixty-five million, thirty-six thousand, four hundred".