14004091147200 has 672 divisors, whose sum is σ = 60297071216640. Its totient is φ = 2756784844800.

The previous prime is 14004091147159. The next prime is 14004091147247. The reversal of 14004091147200 is 274119040041.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×14004091147200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6025299 + ... + 8019501.

Almost surely, 2^{14004091147200} is an apocalyptic number.

14004091147200 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 14004091147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30148535608320).

14004091147200 is an abundant number, since it is smaller than the sum of its proper divisors (46292980069440).

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

14004091147200 is a wasteful number, since it uses less digits than its factorization.

14004091147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994265 (or 1994250 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 14004091147200 in words is "fourteen trillion, four billion, ninety-one million, one hundred forty-seven thousand, two hundred".