10406624256 has 352 divisors, whose sum is σ = 37305838080. Its totient is φ = 2797535232.

The previous prime is 10406624251. The next prime is 10406624287. The reversal of 10406624256 is 65242660401.

10406624256 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 6 + 624 + 25 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10406624256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10406624251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3288531 + ... + 3291693.

Almost surely, 2^10406624256 is an apocalyptic number.

10406624256 is a gapful number since it is divisible by the number (16) 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 10406624256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18652919040).

10406624256 is an abundant number, since it is smaller than the sum of its proper divisors (26899213824).

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

10406624256 is a wasteful number, since it uses less digits than its factorization.

10406624256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3216 (or 3192 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 10406624256 in words is "ten billion, four hundred six million, six hundred twenty-four thousand, two hundred fifty-six".