14161795038720 has 960 divisors, whose sum is σ = 58689321768000. Its totient is φ = 3227437301760.

The previous prime is 14161795038683. The next prime is 14161795038737. The reversal of 14161795038720 is 2783059716141.

14161795038720 is a `hidden beast` number, since 1 + 4 + 1 + 61 + 7 + 9 + 503 + 8 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1182015130 + ... + 1182027110.

It is an arithmetic number, because the mean of its divisors is an integer number (61134710175).

It is a 1-persistent number, because it is pandigital, but 2⋅14161795038720 = 28323590077440 is not.

Almost surely, 2^{14161795038720} is an apocalyptic number.

14161795038720 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 14161795038720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29344660884000).

14161795038720 is an abundant number, since it is smaller than the sum of its proper divisors (44527526729280).

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

14161795038720 is a wasteful number, since it uses less digits than its factorization.

14161795038720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12376 (or 12347 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 14161795038720 in words is "fourteen trillion, one hundred sixty-one billion, seven hundred ninety-five million, thirty-eight thousand, seven hundred twenty".