14100464400 has 120 divisors (see below), whose sum is σ = 49274759904. Its totient is φ = 3418291200.

The previous prime is 14100464383. The next prime is 14100464429. The reversal of 14100464400 is 446400141.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 520909 + ... + 547308.

Almost surely, 2^14100464400 is an apocalyptic number.

14100464400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14100464400 is an abundant number, since it is smaller than the sum of its proper divisors (35174295504).

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

14100464400 is a wasteful number, since it uses less digits than its factorization.

14100464400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068249 (or 1068238 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14100464400 its reverse (446400141), we get a palindrome (14546864541).

The spelling of 14100464400 in words is "fourteen billion, one hundred million, four hundred sixty-four thousand, four hundred".