10416553400 has 48 divisors (see below), whose sum is σ = 26420172840. Its totient is φ = 3787836800.

The previous prime is 10416553393. The next prime is 10416553409. The reversal of 10416553400 is 435561401.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10416553409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2365199 + ... + 2369598.

Almost surely, 2^10416553400 is an apocalyptic number.

10416553400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10416553400 is an abundant number, since it is smaller than the sum of its proper divisors (16003619440).

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

10416553400 is a wasteful number, since it uses less digits than its factorization.

10416553400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4734824 (or 4734815 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The spelling of 10416553400 in words is "ten billion, four hundred sixteen million, five hundred fifty-three thousand, four hundred".