14000667080400 has 3600 divisors, whose sum is σ = 69163193064000. Its totient is φ = 2666122905600.

The previous prime is 14000667080381. The next prime is 14000667080401. The reversal of 14000667080400 is 408076600041.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14000667080401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 100724223531 + ... + 100724223669.

Almost surely, 2^{14000667080400} is an apocalyptic number.

14000667080400 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 14000667080400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34581596532000).

14000667080400 is an abundant number, since it is smaller than the sum of its proper divisors (55162525983600).

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

14000667080400 is a wasteful number, since it uses less digits than its factorization.

14000667080400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 14000667080400 in words is "fourteen trillion, six hundred sixty-seven million, eighty thousand, four hundred".