14364080640 has 1440 divisors, whose sum is σ = 67287407616. Its totient is φ = 2760376320.

The previous prime is 14364080629. The next prime is 14364080659. The reversal of 14364080640 is 4608046341.

14364080640 is a `hidden beast` number, since 1 + 4 + 3 + 6 + 4 + 0 + 8 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-4 number, since 4×14364080640⁴ (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14364080595 and 14364080604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 463357425 + ... + 463357455.

Almost surely, 2^14364080640 is an apocalyptic number.

14364080640 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 14364080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33643703808).

14364080640 is an abundant number, since it is smaller than the sum of its proper divisors (52923326976).

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

14364080640 is a wasteful number, since it uses less digits than its factorization.

14364080640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 14364080640 in words is "fourteen billion, three hundred sixty-four million, eighty thousand, six hundred forty".