14434004400 has 60 divisors (see below), whose sum is σ = 46236931272. Its totient is φ = 3849067520.

The previous prime is 14434004369. The next prime is 14434004413. The reversal of 14434004400 is 440043441.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6012969 + ... + 6015368.

Almost surely, 2^14434004400 is an apocalyptic number.

14434004400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14434004400 is an abundant number, since it is smaller than the sum of its proper divisors (31802926872).

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

14434004400 is a wasteful number, since it uses less digits than its factorization.

14434004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12028358 (or 12028347 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 14434004400 its reverse (440043441), we get a palindrome (14874047841).

The spelling of 14434004400 in words is "fourteen billion, four hundred thirty-four million, four thousand, four hundred".