14133550400 has 84 divisors (see below), whose sum is σ = 35096858940. Its totient is φ = 5601484800.

The previous prime is 14133550397. The next prime is 14133550421. The reversal of 14133550400 is 405533141.

It can be written as a sum of positive squares in 6 ways, for example, as 6801664 + 14126748736 = 2608^2 + 118856^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14133550400.

It is a congruent number.

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, 133880 + ... + 214920.

Almost surely, 2^14133550400 is an apocalyptic number.

14133550400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14133550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17548429470).

14133550400 is an abundant number, since it is smaller than the sum of its proper divisors (20963308540).

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

14133550400 is a wasteful number, since it uses less digits than its factorization.

14133550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81172 (or 81157 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The spelling of 14133550400 in words is "fourteen billion, one hundred thirty-three million, five hundred fifty thousand, four hundred".