406628965416960 has 5760 divisors, whose sum is σ = 1906105791389184. Its totient is φ = 81319837040640.

The previous prime is 406628965416931. The next prime is 406628965416979. The reversal of 406628965416960 is 69614569826604.

406628965416960 is a `hidden beast` number, since 4 + 0 + 6 + 62 + 8 + 9 + 65 + 416 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2968094638012 + ... + 2968094638148.

Almost surely, 2^{406628965416960} is an apocalyptic number.

406628965416960 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 406628965416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953052895694592).

406628965416960 is an abundant number, since it is smaller than the sum of its proper divisors (1499476825972224).

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

406628965416960 is a wasteful number, since it uses less digits than its factorization.

406628965416960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 806215680, while the sum is 72.

The spelling of 406628965416960 in words is "four hundred six trillion, six hundred twenty-eight billion, nine hundred sixty-five million, four hundred sixteen thousand, nine hundred sixty".