14100975720 has 640 divisors, whose sum is σ = 55324684800. Its totient is φ = 3189694464.

The previous prime is 14100975701. The next prime is 14100975743. The reversal of 14100975720 is 2757900141.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 33653671 + ... + 33654089.

It is an arithmetic number, because the mean of its divisors is an integer number (86444820).

Almost surely, 2^14100975720 is an apocalyptic number.

14100975720 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 14100975720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27662342400).

14100975720 is an abundant number, since it is smaller than the sum of its proper divisors (41223709080).

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

14100975720 is a wasteful number, since it uses less digits than its factorization.

14100975720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 14100975720 in words is "fourteen billion, one hundred million, nine hundred seventy-five thousand, seven hundred twenty".