13917689440 has 96 divisors (see below), whose sum is σ = 34145084736. Its totient is φ = 5356707840.

The previous prime is 13917689417. The next prime is 13917689441. The reversal of 13917689440 is 4498671931.

13917689440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13917689441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 464349 + ... + 493411.

It is an arithmetic number, because the mean of its divisors is an integer number (355677966).

Almost surely, 2^13917689440 is an apocalyptic number.

13917689440 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 13917689440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17072542368).

13917689440 is an abundant number, since it is smaller than the sum of its proper divisors (20227395296).

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

13917689440 is a wasteful number, since it uses less digits than its factorization.

13917689440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29192 (or 29184 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The spelling of 13917689440 in words is "thirteen billion, nine hundred seventeen million, six hundred eighty-nine thousand, four hundred forty".