14144354400 has 144 divisors (see below), whose sum is σ = 50225410368. Its totient is φ = 3428928000.

The previous prime is 14144354377. The next prime is 14144354429. The reversal of 14144354400 is 445344141.

It is a super-2 number, since 2×14144354400² (a number of 21 digits) contains 22 as substring.

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

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, 241486 + ... + 294285.

It is an arithmetic number, because the mean of its divisors is an integer number (348787572).

Almost surely, 2^14144354400 is an apocalyptic number.

14144354400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14144354400 is an abundant number, since it is smaller than the sum of its proper divisors (36081055968).

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

14144354400 is a wasteful number, since it uses less digits than its factorization.

14144354400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535805 (or 535792 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 14144354400 its reverse (445344141), we get a palindrome (14589698541).

The spelling of 14144354400 in words is "fourteen billion, one hundred forty-four million, three hundred fifty-four thousand, four hundred".