14115344400 has 90 divisors (see below), whose sum is σ = 48984178490. Its totient is φ = 3764090880.

The previous prime is 14115344381. The next prime is 14115344491. The reversal of 14115344400 is 444351141.

It can be written as a sum of positive squares in 3 ways, for example, as 4924670976 + 9190673424 = 70176^2 + 95868^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×14115344400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1956865 + ... + 1964064.

Almost surely, 2^14115344400 is an apocalyptic number.

14115344400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14115344400 is an abundant number, since it is smaller than the sum of its proper divisors (34868834090).

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

14115344400 is a wasteful number, since it uses less digits than its factorization.

14115344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3920953 (or 3920939 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 14115344400 its reverse (444351141), we get a palindrome (14559695541).

The spelling of 14115344400 in words is "fourteen billion, one hundred fifteen million, three hundred forty-four thousand, four hundred".