14199400051200 has 3600 divisors, whose sum is σ = 68858482566720. Its totient is φ = 2806347202560.

The previous prime is 14199400051097. The next prime is 14199400051201. The reversal of 14199400051200 is 215000499141.

It is a happy number.

14199400051200 is a `hidden beast` number, since 1 + 41 + 9 + 9 + 400 + 0 + 5 + 1 + 200 = 666.

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

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 (14199400051201) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 159543820756 + ... + 159543820844.

Almost surely, 2^{14199400051200} is an apocalyptic number.

14199400051200 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 14199400051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34429241283360).

14199400051200 is an abundant number, since it is smaller than the sum of its proper divisors (54659082515520).

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

14199400051200 is an equidigital number, since it uses as much as digits as its factorization.

14199400051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 14199400051200 in words is "fourteen trillion, one hundred ninety-nine billion, four hundred million, fifty-one thousand, two hundred".