14039406144 has 63 divisors (see below), whose sum is σ = 40249575457. Its totient is φ = 4678854144.

The previous prime is 14039406113. The next prime is 14039406187. The reversal of 14039406144 is 44160493041.

It is a happy number.

The square root of 14039406144 is 118488.

It is a perfect power (a square), and thus also a powerful number.

14039406144 is a `hidden beast` number, since 1 + 4 + 0 + 39 + 4 + 0 + 614 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6102734400 + 7936671744 = 78120^2 + 89088^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14039406099 and 14039406108.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2841244 + ... + 2846180.

Almost surely, 2^14039406144 is an apocalyptic number.

14039406144 is the 118488-th square number.

It is an amenable number.

14039406144 is an abundant number, since it is smaller than the sum of its proper divisors (26210169313).

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

14039406144 is an frugal number, since it uses more digits than its factorization.

14039406144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9892 (or 4942 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Multiplying 14039406144 by its sum of digits (36), we get a square (505418621184 = 710928²).

14039406144 divided by its sum of digits (36) gives a square (389983504 = 19748²).

Adding to 14039406144 its reverse (44160493041), we get a palindrome (58199899185).

The spelling of 14039406144 in words is "fourteen billion, thirty-nine million, four hundred six thousand, one hundred forty-four".