14044208640 has 960 divisors, whose sum is σ = 60188147712. Its totient is φ = 2724986880.

The previous prime is 14044208627. The next prime is 14044208683. The reversal of 14044208640 is 4680244041.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110584257 + ... + 110584383.

Almost surely, 2^14044208640 is an apocalyptic number.

14044208640 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 14044208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30094073856).

14044208640 is an abundant number, since it is smaller than the sum of its proper divisors (46143939072).

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

14044208640 is a wasteful number, since it uses less digits than its factorization.

14044208640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 14044208640 in words is "fourteen billion, forty-four million, two hundred eight thousand, six hundred forty".