14540504400 has 300 divisors, whose sum is σ = 52823202432. Its totient is φ = 3830042880.

The previous prime is 14540504371. The next prime is 14540504411. The reversal of 14540504400 is 440504541.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×14540504400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2686497 + ... + 2691903.

Almost surely, 2^14540504400 is an apocalyptic number.

14540504400 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 14540504400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26411601216).

14540504400 is an abundant number, since it is smaller than the sum of its proper divisors (38282698032).

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

14540504400 is a wasteful number, since it uses less digits than its factorization.

14540504400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5520 (or 5500 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The spelling of 14540504400 in words is "fourteen billion, five hundred forty million, five hundred four thousand, four hundred".