14079890966400 has 3840 divisors, whose sum is σ = 64644433920000. Its totient is φ = 3011125985280.

The previous prime is 14079890966381. The next prime is 14079890966447. The reversal of 14079890966400 is 466909897041.

14079890966400 is a `hidden beast` number, since 1 + 407 + 9 + 89 + 0 + 96 + 64 + 0 + 0 = 666.

It is a super-3 number, since 3×14079890966400³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 110865283137 + ... + 110865283263.

It is an arithmetic number, because the mean of its divisors is an integer number (16834488000).

Almost surely, 2^{14079890966400} is an apocalyptic number.

14079890966400 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 14079890966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32322216960000).

14079890966400 is an abundant number, since it is smaller than the sum of its proper divisors (50564542953600).

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

14079890966400 is a wasteful number, since it uses less digits than its factorization.

14079890966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 14079890966400 in words is "fourteen trillion, seventy-nine billion, eight hundred ninety million, nine hundred sixty-six thousand, four hundred".