14239011368400 has 960 divisors, whose sum is σ = 58664778547200. Its totient is φ = 2869447680000.

The previous prime is 14239011368389. The next prime is 14239011368429. The reversal of 14239011368400 is 486311093241.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1886207826 + ... + 1886215374.

It is an arithmetic number, because the mean of its divisors is an integer number (61109144320).

Almost surely, 2^{14239011368400} is an apocalyptic number.

14239011368400 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 14239011368400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29332389273600).

14239011368400 is an abundant number, since it is smaller than the sum of its proper divisors (44425767178800).

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

14239011368400 is a wasteful number, since it uses less digits than its factorization.

14239011368400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8364 (or 8353 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 14239011368400 in words is "fourteen trillion, two hundred thirty-nine billion, eleven million, three hundred sixty-eight thousand, four hundred".