13984938240 has 576 divisors, whose sum is σ = 56788795392. Its totient is φ = 2853273600.

The previous prime is 13984938229. The next prime is 13984938251. The reversal of 13984938240 is 4283948931.

It is an interprime number because it is at equal distance from previous prime (13984938229) and next prime (13984938251).

It is a super-2 number, since 2×13984938240² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10831995 + ... + 10833285.

Almost surely, 2^13984938240 is an apocalyptic number.

13984938240 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 13984938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28394397696).

13984938240 is an abundant number, since it is smaller than the sum of its proper divisors (42803857152).

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

13984938240 is a wasteful number, since it uses less digits than its factorization.

13984938240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 13984938240 in words is "thirteen billion, nine hundred eighty-four million, nine hundred thirty-eight thousand, two hundred forty".