14132365447200 has 576 divisors, whose sum is σ = 61763388890112. Its totient is φ = 2710703001600.

The previous prime is 14132365447181. The next prime is 14132365447229. The reversal of 14132365447200 is 274456323141.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 538902 + ... + 5343701.

It is an arithmetic number, because the mean of its divisors is an integer number (107228105712).

Almost surely, 2^{14132365447200} is an apocalyptic number.

14132365447200 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 14132365447200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30881694445056).

14132365447200 is an abundant number, since it is smaller than the sum of its proper divisors (47631023442912).

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

14132365447200 is a wasteful number, since it uses less digits than its factorization.

14132365447200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882657 (or 5882644 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 14132365447200 in words is "fourteen trillion, one hundred thirty-two billion, three hundred sixty-five million, four hundred forty-seven thousand, two hundred".