14364540400 has 120 divisors (see below), whose sum is σ = 39535755264. Its totient is φ = 4913145600.

The previous prime is 14364540373. The next prime is 14364540427. The reversal of 14364540400 is 404546341.

It is an interprime number because it is at equal distance from previous prime (14364540373) and next prime (14364540427).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1200849 + ... + 1212751.

Almost surely, 2^14364540400 is an apocalyptic number.

14364540400 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 14364540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19767877632).

14364540400 is an abundant number, since it is smaller than the sum of its proper divisors (25171214864).

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

14364540400 is a wasteful number, since it uses less digits than its factorization.

14364540400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12359 (or 12348 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The spelling of 14364540400 in words is "fourteen billion, three hundred sixty-four million, five hundred forty thousand, four hundred".