14151374400 has 84 divisors (see below), whose sum is σ = 46428316592. Its totient is φ = 3773698560.

The previous prime is 14151374399. The next prime is 14151374417. The reversal of 14151374400 is 447315141.

14151374400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14151374400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1469302 + ... + 1478901.

Almost surely, 2^14151374400 is an apocalyptic number.

14151374400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14151374400 is an abundant number, since it is smaller than the sum of its proper divisors (32276942192).

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

14151374400 is a wasteful number, since it uses less digits than its factorization.

14151374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948228 (or 2948213 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

Adding to 14151374400 its reverse (447315141), we get a palindrome (14598689541).

The spelling of 14151374400 in words is "fourteen billion, one hundred fifty-one million, three hundred seventy-four thousand, four hundred".