13982479748640 has 576 divisors, whose sum is σ = 54120409459200. Its totient is φ = 3368602238976.

The previous prime is 13982479748527. The next prime is 13982479748669. The reversal of 13982479748640 is 4684797428931.

13982479748640 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 2 + 479 + 74 + 86 + 4 + 0 = 666.

It is a super-2 number, since 2×13982479748640² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34110016 + ... + 34517504.

It is an arithmetic number, because the mean of its divisors is an integer number (93959044200).

Almost surely, 2^{13982479748640} is an apocalyptic number.

13982479748640 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 13982479748640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27060204729600).

13982479748640 is an abundant number, since it is smaller than the sum of its proper divisors (40137929710560).

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

13982479748640 is a wasteful number, since it uses less digits than its factorization.

13982479748640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407586 (or 407559 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 13982479748640 in words is "thirteen trillion, nine hundred eighty-two billion, four hundred seventy-nine million, seven hundred forty-eight thousand, six hundred forty".