14417695920 has 320 divisors, whose sum is σ = 49136855040. Its totient is φ = 3482419200.

The previous prime is 14417695913. The next prime is 14417695921. The reversal of 14417695920 is 2959671441.

It is a happy number.

14417695920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 14417695920.

It is not an unprimeable number, because it can be changed into a prime (14417695921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13214575 + ... + 13215665.

It is an arithmetic number, because the mean of its divisors is an integer number (153552672).

Almost surely, 2^14417695920 is an apocalyptic number.

14417695920 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 14417695920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24568427520).

14417695920 is an abundant number, since it is smaller than the sum of its proper divisors (34719159120).

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

14417695920 is a wasteful number, since it uses less digits than its factorization.

14417695920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 14417695920 in words is "fourteen billion, four hundred seventeen million, six hundred ninety-five thousand, nine hundred twenty".