14442726240 has 72 divisors (see below), whose sum is σ = 49285808208. Its totient is φ = 3851393280.

The previous prime is 14442726239. The next prime is 14442726251. The reversal of 14442726240 is 4262724441.

14442726240 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 27 + 2 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 14442726195 and 14442726204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5013396 + ... + 5016275.

It is an arithmetic number, because the mean of its divisors is an integer number (684525114).

Almost surely, 2^14442726240 is an apocalyptic number.

14442726240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14442726240 is an abundant number, since it is smaller than the sum of its proper divisors (34843081968).

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

14442726240 is a wasteful number, since it uses less digits than its factorization.

14442726240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10029692 (or 10029681 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 14442726240 in words is "fourteen billion, four hundred forty-two million, seven hundred twenty-six thousand, two hundred forty".