10408952720 has 80 divisors (see below), whose sum is σ = 24353767152. Its totient is φ = 4137369600.

The previous prime is 10408952717. The next prime is 10408952731. The reversal of 10408952720 is 2725980401.

It can be written as a sum of positive squares in 8 ways, for example, as 274101136 + 10134851584 = 16556^2 + 100672^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14848370 + ... + 14849070.

Almost surely, 2^10408952720 is an apocalyptic number.

10408952720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10408952720 is an abundant number, since it is smaller than the sum of its proper divisors (13944814432).

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

10408952720 is a wasteful number, since it uses less digits than its factorization.

10408952720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The spelling of 10408952720 in words is "ten billion, four hundred eight million, nine hundred fifty-two thousand, seven hundred twenty".