14039248742400 has 2304 divisors, whose sum is σ = 57868396185600. Its totient is φ = 2934067691520.

The previous prime is 14039248742383. The next prime is 14039248742461. The reversal of 14039248742400 is 424784293041.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 14039248742400.

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, 49608652659 + ... + 49608652941.

It is an arithmetic number, because the mean of its divisors is an integer number (25116491400).

Almost surely, 2^{14039248742400} is an apocalyptic number.

14039248742400 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 14039248742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28934198092800).

14039248742400 is an abundant number, since it is smaller than the sum of its proper divisors (43829147443200).

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

14039248742400 is a wasteful number, since it uses less digits than its factorization.

14039248742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 14039248742400 in words is "fourteen trillion, thirty-nine billion, two hundred forty-eight million, seven hundred forty-two thousand, four hundred".