14421014400 has 192 divisors, whose sum is σ = 51153444720. Its totient is φ = 3549757440.

The previous prime is 14421014393. The next prime is 14421014431. The reversal of 14421014400 is 441012441.

It is a tau number, because it is divible by the number of its divisors (192).

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, 67024 + ... + 182576.

Almost surely, 2^14421014400 is an apocalyptic number.

14421014400 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 14421014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25576722360).

14421014400 is an abundant number, since it is smaller than the sum of its proper divisors (36732430320).

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

14421014400 is a wasteful number, since it uses less digits than its factorization.

14421014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115593 (or 115576 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 14421014400 its reverse (441012441), we get a palindrome (14862026841).

The spelling of 14421014400 in words is "fourteen billion, four hundred twenty-one million, fourteen thousand, four hundred".