14344081920 has 960 divisors, whose sum is σ = 62098882560. Its totient is φ = 2985984000.

The previous prime is 14344081919. The next prime is 14344081963. The reversal of 14344081920 is 2918044341.

It is a happy number.

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

It is a super-2 number, since 2×14344081920² (a number of 21 digits) contains 22 as substring.

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

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, 94993845 + ... + 94993995.

It is an arithmetic number, because the mean of its divisors is an integer number (64686336).

Almost surely, 2^14344081920 is an apocalyptic number.

14344081920 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 14344081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31049441280).

14344081920 is an abundant number, since it is smaller than the sum of its proper divisors (47754800640).

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

14344081920 is a wasteful number, since it uses less digits than its factorization.

14344081920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 14344081920 in words is "fourteen billion, three hundred forty-four million, eighty-one thousand, nine hundred twenty".