406557628160 has 36 divisors (see below), whose sum is σ = 973832571768. Its totient is φ = 162623050752.

The previous prime is 406557628133. The next prime is 406557628187. The reversal of 406557628160 is 61826755604.

It is an interprime number because it is at equal distance from previous prime (406557628133) and next prime (406557628187).

It is a junction number, because it is equal to n+sod(n) for n = 406557628099 and 406557628108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 158810294 + ... + 158812853.

Almost surely, 2^406557628160 is an apocalyptic number.

406557628160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406557628160 is an abundant number, since it is smaller than the sum of its proper divisors (567274943608).

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

406557628160 is an equidigital number, since it uses as much as digits as its factorization.

406557628160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317623168 (or 317623154 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 50.

The spelling of 406557628160 in words is "four hundred six billion, five hundred fifty-seven million, six hundred twenty-eight thousand, one hundred sixty".