14253542400 has 132 divisors (see below), whose sum is σ = 47108953832. Its totient is φ = 3800924160.

The previous prime is 14253542399. The next prime is 14253542431. The reversal of 14253542400 is 424535241.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15997 + ... + 169596.

Almost surely, 2^14253542400 is an apocalyptic number.

14253542400 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 14253542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23554476916).

14253542400 is an abundant number, since it is smaller than the sum of its proper divisors (32855411432).

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

14253542400 is a wasteful number, since it uses less digits than its factorization.

14253542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185626 (or 185603 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 14253542400 in words is "fourteen billion, two hundred fifty-three million, five hundred forty-two thousand, four hundred".