10417866400 has 36 divisors (see below), whose sum is σ = 25432618302. Its totient is φ = 4167146240.

The previous prime is 10417866391. The next prime is 10417866449. The reversal of 10417866400 is 466871401.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 9927332496 + 490533904 = 99636^2 + 22148^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10417866400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6510367 + ... + 6511966.

Almost surely, 2^10417866400 is an apocalyptic number.

10417866400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10417866400 is an abundant number, since it is smaller than the sum of its proper divisors (15014751902).

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

10417866400 is a wasteful number, since it uses less digits than its factorization.

10417866400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13022353 (or 13022340 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 10417866400 in words is "ten billion, four hundred seventeen million, eight hundred sixty-six thousand, four hundred".