403215580656 has 240 divisors, whose sum is σ = 1388659334400. Its totient is φ = 106589693952.

The previous prime is 403215580627. The next prime is 403215580679. The reversal of 403215580656 is 656085512304.

403215580656 is a `hidden beast` number, since 4 + 0 + 3 + 2 + 1 + 5 + 580 + 65 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 811615 + ... + 1210433.

It is an arithmetic number, because the mean of its divisors is an integer number (5786080560).

Almost surely, 2^403215580656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 403215580656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694329667200).

403215580656 is an abundant number, since it is smaller than the sum of its proper divisors (985443753744).

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

403215580656 is a wasteful number, since it uses less digits than its factorization.

403215580656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398916 (or 398907 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 403215580656 in words is "four hundred three billion, two hundred fifteen million, five hundred eighty thousand, six hundred fifty-six".