406331255520 has 192 divisors, whose sum is σ = 1505816101440. Its totient is φ = 101981159424.

The previous prime is 406331255489. The next prime is 406331255557. The reversal of 406331255520 is 25552133604.

406331255520 is a `hidden beast` number, since 4 + 0 + 6 + 3 + 3 + 125 + 5 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2692977 + ... + 2839856.

It is an arithmetic number, because the mean of its divisors is an integer number (7842792195).

Almost surely, 2^406331255520 is an apocalyptic number.

406331255520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406331255520 is an abundant number, since it is smaller than the sum of its proper divisors (1099484845920).

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

406331255520 is a wasteful number, since it uses less digits than its factorization.

406331255520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5532874 (or 5532860 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 406331255520 in words is "four hundred six billion, three hundred thirty-one million, two hundred fifty-five thousand, five hundred twenty".