74140114400 has 144 divisors (see below), whose sum is σ = 209063650320. Its totient is φ = 25374105600.

The previous prime is 74140114397. The next prime is 74140114457. The reversal of 74140114400 is 441104147.

It is a self number, because there is not a number n which added to its sum of digits gives 74140114400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98195 + ... + 397394.

It is an arithmetic number, because the mean of its divisors is an integer number (1451830905).

Almost surely, 2^74140114400 is an apocalyptic number.

It is an amenable number.

74140114400 is an abundant number, since it is smaller than the sum of its proper divisors (134923535920).

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

74140114400 is a wasteful number, since it uses less digits than its factorization.

74140114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495637 (or 495624 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

Adding to 74140114400 its reverse (441104147), we get a palindrome (74581218547).

The spelling of 74140114400 in words is "seventy-four billion, one hundred forty million, one hundred fourteen thousand, four hundred".