14413141200 has 60 divisors (see below), whose sum is σ = 46170099488. Its totient is φ = 3843504000.

The previous prime is 14413141187. The next prime is 14413141207. The reversal of 14413141200 is 214131441.

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

It is a super-2 number, since 2×14413141200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14413141207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6004276 + ... + 6006675.

Almost surely, 2^14413141200 is an apocalyptic number.

14413141200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14413141200 is an abundant number, since it is smaller than the sum of its proper divisors (31756958288).

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

14413141200 is a wasteful number, since it uses less digits than its factorization.

14413141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12010972 (or 12010961 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 14413141200 its reverse (214131441), we get a palindrome (14627272641).

The spelling of 14413141200 in words is "fourteen billion, four hundred thirteen million, one hundred forty-one thousand, two hundred".