13900141288 has 64 divisors (see below), whose sum is σ = 28767024000. Its totient is φ = 6244128000.

The previous prime is 13900141271. The next prime is 13900141313. The reversal of 13900141288 is 88214100931.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4209238 + ... + 4212538.

It is an arithmetic number, because the mean of its divisors is an integer number (449484750).

Almost surely, 2^13900141288 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 13900141288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14383512000).

13900141288 is an abundant number, since it is smaller than the sum of its proper divisors (14866882712).

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

13900141288 is a wasteful number, since it uses less digits than its factorization.

13900141288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3866 (or 3862 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The spelling of 13900141288 in words is "thirteen billion, nine hundred million, one hundred forty-one thousand, two hundred eighty-eight".