406256415630 has 128 divisors (see below), whose sum is σ = 1063270333440. Its totient is φ = 98740700160.

The previous prime is 406256415629. The next prime is 406256415659. The reversal of 406256415630 is 36514652604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103873375 + ... + 103877285.

It is an arithmetic number, because the mean of its divisors is an integer number (8306799480).

Almost surely, 2^406256415630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406256415630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531635166720).

406256415630 is an abundant number, since it is smaller than the sum of its proper divisors (657013917810).

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

406256415630 is a wasteful number, since it uses less digits than its factorization.

406256415630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7226.

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 406256415630 in words is "four hundred six billion, two hundred fifty-six million, four hundred fifteen thousand, six hundred thirty".