14009320761408 has 224 divisors, whose sum is σ = 47093911603200. Its totient is φ = 4000489579008.

The previous prime is 14009320761367. The next prime is 14009320761431. The reversal of 14009320761408 is 80416702390041.

14009320761408 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 9 + 3 + 20 + 7 + 614 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×14009320761408² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22027783 + ... + 22654841.

It is an arithmetic number, because the mean of its divisors is an integer number (210240676800).

Almost surely, 2^{14009320761408} is an apocalyptic number.

14009320761408 is a gapful number since it is divisible by the number (18) 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 14009320761408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23546955801600).

14009320761408 is an abundant number, since it is smaller than the sum of its proper divisors (33084590841792).

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

14009320761408 is a wasteful number, since it uses less digits than its factorization.

14009320761408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628934 (or 628918 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 14009320761408 in words is "fourteen trillion, nine billion, three hundred twenty million, seven hundred sixty-one thousand, four hundred eight".