13962983938540 has 192 divisors, whose sum is σ = 36361204992000. Its totient is φ = 4385738317824.

The previous prime is 13962983938489. The next prime is 13962983938583. The reversal of 13962983938540 is 4583938926931.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 13962983938540.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 892252636 + ... + 892268284.

It is an arithmetic number, because the mean of its divisors is an integer number (189381276000).

Almost surely, 2^{13962983938540} is an apocalyptic number.

13962983938540 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 13962983938540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18180602496000).

13962983938540 is an abundant number, since it is smaller than the sum of its proper divisors (22398221053460).

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

13962983938540 is a wasteful number, since it uses less digits than its factorization.

13962983938540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19344 (or 19342 counting only the distinct ones).

The product of its (nonzero) digits is 302330880, while the sum is 70.

The spelling of 13962983938540 in words is "thirteen trillion, nine hundred sixty-two billion, nine hundred eighty-three million, nine hundred thirty-eight thousand, five hundred forty".