14401444130928 has 160 divisors (see below), whose sum is σ = 42049202637120. Its totient is φ = 4717957155840.

The previous prime is 14401444130897. The next prime is 14401444130939. The reversal of 14401444130928 is 82903144410441.

14401444130928 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 144 + 413 + 0 + 92 + 8 = 666.

It is a super-2 number, since 2×14401444130928² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32376526 + ... + 32818322.

It is an arithmetic number, because the mean of its divisors is an integer number (262807516482).

Almost surely, 2^{14401444130928} is an apocalyptic number.

14401444130928 is a gapful number since it is divisible by the number (18) 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 14401444130928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21024601318560).

14401444130928 is an abundant number, since it is smaller than the sum of its proper divisors (27647758506192).

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

14401444130928 is a wasteful number, since it uses less digits than its factorization.

14401444130928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443112 (or 443100 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 14401444130928 in words is "fourteen trillion, four hundred one billion, four hundred forty-four million, one hundred thirty thousand, nine hundred twenty-eight".