406533980160 has 2160 divisors, whose sum is σ = 1907762895360. Its totient is φ = 81749606400.

The previous prime is 406533980131. The next prime is 406533980179. The reversal of 406533980160 is 61089335604.

406533980160 is a `hidden beast` number, since 40 + 65 + 3 + 398 + 0 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13113999345 + ... + 13113999375.

Almost surely, 2^406533980160 is an apocalyptic number.

406533980160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406533980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953881447680).

406533980160 is an abundant number, since it is smaller than the sum of its proper divisors (1501228915200).

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

406533980160 is a wasteful number, since it uses less digits than its factorization.

406533980160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 406533980160 in words is "four hundred six billion, five hundred thirty-three million, nine hundred eighty thousand, one hundred sixty".