14142414400 has 84 divisors (see below), whose sum is σ = 36630792880. Its totient is φ = 5359219200.

The previous prime is 14142414373. The next prime is 14142414443. The reversal of 14142414400 is 441424141.

It is a super-2 number, since 2×14142414400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 202206 + ... + 263005.

Almost surely, 2^14142414400 is an apocalyptic number.

14142414400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14142414400 is an abundant number, since it is smaller than the sum of its proper divisors (22488378480).

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

14142414400 is a wasteful number, since it uses less digits than its factorization.

14142414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465252 (or 465237 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 14142414400 its reverse (441424141), we get a palindrome (14583838541).

The spelling of 14142414400 in words is "fourteen billion, one hundred forty-two million, four hundred fourteen thousand, four hundred".