14040324880 has 80 divisors (see below), whose sum is σ = 33834374640. Its totient is φ = 5414086656.

The previous prime is 14040324877. The next prime is 14040324901. The reversal of 14040324880 is 8842304041.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 217149696 + 13823175184 = 14736^2 + 117572^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×14040324880³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300882 + ... + 344398.

It is an arithmetic number, because the mean of its divisors is an integer number (422929683).

Almost surely, 2^14040324880 is an apocalyptic number.

14040324880 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 14040324880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16917187320).

14040324880 is an abundant number, since it is smaller than the sum of its proper divisors (19794049760).

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

14040324880 is a wasteful number, since it uses less digits than its factorization.

14040324880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43676 (or 43670 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The spelling of 14040324880 in words is "fourteen billion, forty million, three hundred twenty-four thousand, eight hundred eighty".