13940007911424 has 675 divisors, whose sum is σ = 48550968787167. Its totient is φ = 3974257115136.

The previous prime is 13940007911419. The next prime is 13940007911429. The reversal of 13940007911424 is 42411970004931.

The square root of 13940007911424 is 3733632.

It is a perfect power (a square), and thus also a powerful number.

13940007911424 is a `hidden beast` number, since 1 + 39 + 400 + 0 + 79 + 1 + 142 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (13940007911419) and next prime (13940007911429).

It is a self number, because there is not a number n which added to its sum of digits gives 13940007911424.

It is not an unprimeable number, because it can be changed into a prime (13940007911429) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 30108008217 + ... + 30108008679.

Almost surely, 2^{13940007911424} is an apocalyptic number.

13940007911424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13940007911424 is the 3733632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13940007911424

13940007911424 is an abundant number, since it is smaller than the sum of its proper divisors (34610960875743).

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

13940007911424 is an frugal number, since it uses more digits than its factorization.

13940007911424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 13940007911424 in words is "thirteen trillion, nine hundred forty billion, seven million, nine hundred eleven thousand, four hundred twenty-four".