10416806400 has 960 divisors, whose sum is σ = 46373031936. Its totient is φ = 1990656000.

The previous prime is 10416806399. The next prime is 10416806431. The reversal of 10416806400 is 460861401.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38438265 + ... + 38438535.

Almost surely, 2^10416806400 is an apocalyptic number.

10416806400 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 10416806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23186515968).

10416806400 is an abundant number, since it is smaller than the sum of its proper divisors (35956225536).

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

10416806400 is a wasteful number, since it uses less digits than its factorization.

10416806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 10416806400 in words is "ten billion, four hundred sixteen million, eight hundred six thousand, four hundred".