10014554400 has 72 divisors (see below), whose sum is σ = 32597382384. Its totient is φ = 2670547200.

The previous prime is 10014554399. The next prime is 10014554411. The reversal of 10014554400 is 445541001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2083966 + ... + 2088765.

It is an arithmetic number, because the mean of its divisors is an integer number (452741422).

Almost surely, 2^10014554400 is an apocalyptic number.

10014554400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10014554400 is an abundant number, since it is smaller than the sum of its proper divisors (22582827984).

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

10014554400 is a wasteful number, since it uses less digits than its factorization.

10014554400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4172754 (or 4172741 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The spelling of 10014554400 in words is "ten billion, fourteen million, five hundred fifty-four thousand, four hundred".