14132980431360 has 2560 divisors, whose sum is σ = 64215775641600. Its totient is φ = 2871640719360.

The previous prime is 14132980431359. The next prime is 14132980431371. The reversal of 14132980431360 is 6313408923141.

14132980431360 is a `hidden beast` number, since 1 + 4 + 1 + 329 + 8 + 0 + 4 + 313 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-2 number, since 2×14132980431360² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10964297596 + ... + 10964298884.

It is an arithmetic number, because the mean of its divisors is an integer number (25084287360).

Almost surely, 2^{14132980431360} is an apocalyptic number.

14132980431360 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 14132980431360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32107887820800).

14132980431360 is an abundant number, since it is smaller than the sum of its proper divisors (50082795210240).

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

14132980431360 is a wasteful number, since it uses less digits than its factorization.

14132980431360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 14132980431360 in words is "fourteen trillion, one hundred thirty-two billion, nine hundred eighty million, four hundred thirty-one thousand, three hundred sixty".