10406316960 has 432 divisors, whose sum is σ = 39139479288. Its totient is φ = 2515968000.

The previous prime is 10406316937. The next prime is 10406316983. The reversal of 10406316960 is 6961360401.

10406316960 is a `hidden beast` number, since 10 + 4 + 0 + 631 + 6 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10406316937) and next prime (10406316983).

It can be written as a sum of positive squares in 12 ways, for example, as 291589776 + 10114727184 = 17076^2 + 100572^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14844610 + ... + 14845310.

Almost surely, 2^10406316960 is an apocalyptic number.

10406316960 is a gapful number since it is divisible by the number (10) 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 10406316960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19569739644).

10406316960 is an abundant number, since it is smaller than the sum of its proper divisors (28733162328).

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

10406316960 is a wasteful number, since it uses less digits than its factorization.

10406316960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 10406316960 in words is "ten billion, four hundred six million, three hundred sixteen thousand, nine hundred sixty".