14144304400 has 30 divisors (see below), whose sum is σ = 33981692282. Its totient is φ = 5657721600.

The previous prime is 14144304379. The next prime is 14144304439. The reversal of 14144304400 is 440344141.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1625379856 + 12518924544 = 40316^2 + 111888^2 .

It is a super-2 number, since 2×14144304400² (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 5 ways as a sum of consecutive naturals, for example, 17679981 + ... + 17680780.

Almost surely, 2^14144304400 is an apocalyptic number.

14144304400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14144304400 is an abundant number, since it is smaller than the sum of its proper divisors (19837387882).

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

14144304400 is a wasteful number, since it uses less digits than its factorization.

14144304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35360779 (or 35360768 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 14144304400 its reverse (440344141), we get a palindrome (14584648541).

The spelling of 14144304400 in words is "fourteen billion, one hundred forty-four million, three hundred four thousand, four hundred".