13890719424 has 112 divisors (see below), whose sum is σ = 38805104000. Its totient is φ = 4373139456.

The previous prime is 13890719417. The next prime is 13890719467. The reversal of 13890719424 is 42491709831.

It is a super-2 number, since 2×13890719424² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1223727 + ... + 1235025.

Almost surely, 2^13890719424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13890719424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19402552000).

13890719424 is an abundant number, since it is smaller than the sum of its proper divisors (24914384576).

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

13890719424 is a wasteful number, since it uses less digits than its factorization.

13890719424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11670 (or 11660 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 13890719424 in words is "thirteen billion, eight hundred ninety million, seven hundred nineteen thousand, four hundred twenty-four".