14017813920 has 576 divisors, whose sum is σ = 56156405760. Its totient is φ = 3147724800.

The previous prime is 14017813889. The next prime is 14017813991. The reversal of 14017813920 is 2931871041.

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 95 ways as a sum of consecutive naturals, for example, 14144625 + ... + 14145615.

It is an arithmetic number, because the mean of its divisors is an integer number (97493760).

Almost surely, 2^14017813920 is an apocalyptic number.

14017813920 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 14017813920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28078202880).

14017813920 is an abundant number, since it is smaller than the sum of its proper divisors (42138591840).

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

14017813920 is a wasteful number, since it uses less digits than its factorization.

14017813920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 14017813920 in words is "fourteen billion, seventeen million, eight hundred thirteen thousand, nine hundred twenty".