14201940130560 has 1728 divisors, whose sum is σ = 61707377571840. Its totient is φ = 2935978721280.

The previous prime is 14201940130537. The next prime is 14201940130561. The reversal of 14201940130560 is 6503104910241.

It is a happy number.

14201940130560 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 1 + 94 + 0 + 1 + 3 + 0 + 560 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (14201940130561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16927222621 + ... + 16927223459.

Almost surely, 2^{14201940130560} is an apocalyptic number.

14201940130560 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 14201940130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30853688785920).

14201940130560 is an abundant number, since it is smaller than the sum of its proper divisors (47505437441280).

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

14201940130560 is a wasteful number, since it uses less digits than its factorization.

14201940130560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 14201940130560 in words is "fourteen trillion, two hundred one billion, nine hundred forty million, one hundred thirty thousand, five hundred sixty".