13988634992640 has 2240 divisors, whose sum is σ = 66221547625728. Its totient is φ = 2734895923200.

The previous prime is 13988634992609. The next prime is 13988634992663. The reversal of 13988634992640 is 4629943688931.

13988634992640 is a `hidden beast` number, since 1 + 3 + 98 + 8 + 6 + 3 + 499 + 2 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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 159 ways as a sum of consecutive naturals, for example, 4342946230 + ... + 4342949450.

Almost surely, 2^{13988634992640} is an apocalyptic number.

13988634992640 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 13988634992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33110773812864).

13988634992640 is an abundant number, since it is smaller than the sum of its proper divisors (52232912633088).

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

13988634992640 is a wasteful number, since it uses less digits than its factorization.

13988634992640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3299 (or 3266 counting only the distinct ones).

The product of its (nonzero) digits is 483729408, while the sum is 72.

The spelling of 13988634992640 in words is "thirteen trillion, nine hundred eighty-eight billion, six hundred thirty-four million, nine hundred ninety-two thousand, six hundred forty".