14000456790360 has 384 divisors, whose sum is σ = 47929435706880. Its totient is φ = 3674897538048.

The previous prime is 14000456790289. The next prime is 14000456790391. The reversal of 14000456790360 is 6309765400041.

14000456790360 is a `hidden beast` number, since 1 + 400 + 0 + 45 + 67 + 90 + 3 + 60 = 666.

14000456790360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 356889067 + ... + 356928293.

It is an arithmetic number, because the mean of its divisors is an integer number (124816238820).

Almost surely, 2^{14000456790360} is an apocalyptic number.

14000456790360 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 14000456790360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23964717853440).

14000456790360 is an abundant number, since it is smaller than the sum of its proper divisors (33928978916520).

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

14000456790360 is a wasteful number, since it uses less digits than its factorization.

14000456790360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39829 (or 39813 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 14000456790360 in words is "fourteen trillion, four hundred fifty-six million, seven hundred ninety thousand, three hundred sixty".