14604304000440 has 128 divisors (see below), whose sum is σ = 54623890321920. Its totient is φ = 3034660569600.

The previous prime is 14604304000421. The next prime is 14604304000441. The reversal of 14604304000440 is 4400040340641.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14604304000398 and 14604304000407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14604304000441) by changing a digit.

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, 790266951 + ... + 790285430.

It is an arithmetic number, because the mean of its divisors is an integer number (426749143140).

Almost surely, 2^{14604304000440} is an apocalyptic number.

14604304000440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14604304000440 is an abundant number, since it is smaller than the sum of its proper divisors (40019586321480).

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

14604304000440 is a wasteful number, since it uses less digits than its factorization.

14604304000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580552413 (or 1580552409 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 14604304000440 in words is "fourteen trillion, six hundred four billion, three hundred four million, four hundred forty", and thus it is an aban number.