14111401200 has 120 divisors (see below), whose sum is σ = 48680769648. Its totient is φ = 3473571840.

The previous prime is 14111401193. The next prime is 14111401207. The reversal of 14111401200 is 210411141.

It is an interprime number because it is at equal distance from previous prime (14111401193) and next prime (14111401207).

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

It is a super-2 number, since 2×14111401200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14111401200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14111401207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 436689 + ... + 467888.

Almost surely, 2^14111401200 is an apocalyptic number.

14111401200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14111401200 is an abundant number, since it is smaller than the sum of its proper divisors (34569368448).

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

14111401200 is a wasteful number, since it uses less digits than its factorization.

14111401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904611 (or 904600 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 14111401200 its reverse (210411141), we get a palindrome (14321812341).

The spelling of 14111401200 in words is "fourteen billion, one hundred eleven million, four hundred one thousand, two hundred".