14450502400 has 108 divisors (see below), whose sum is σ = 35822710672. Its totient is φ = 5771243520.

The previous prime is 14450502389. The next prime is 14450502419. The reversal of 14450502400 is 420505441.

It is a happy number.

It is a super-2 number, since 2×14450502400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 5457877 + ... + 5460523.

Almost surely, 2^14450502400 is an apocalyptic number.

14450502400 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 14450502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17911355336).

14450502400 is an abundant number, since it is smaller than the sum of its proper divisors (21372208272).

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

14450502400 is an equidigital number, since it uses as much as digits as its factorization.

14450502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3526 (or 3507 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The spelling of 14450502400 in words is "fourteen billion, four hundred fifty million, five hundred two thousand, four hundred".