14364425400 has 384 divisors, whose sum is σ = 51156100800. Its totient is φ = 3322675200.

The previous prime is 14364425321. The next prime is 14364425401. The reversal of 14364425400 is 452446341.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14364425401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22409080 + ... + 22409720.

Almost surely, 2^14364425400 is an apocalyptic number.

14364425400 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 14364425400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25578050400).

14364425400 is an abundant number, since it is smaller than the sum of its proper divisors (36791675400).

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

14364425400 is a wasteful number, since it uses less digits than its factorization.

14364425400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The spelling of 14364425400 in words is "fourteen billion, three hundred sixty-four million, four hundred twenty-five thousand, four hundred".