13931141400 has 864 divisors, whose sum is σ = 56188903680. Its totient is φ = 3199046400.

The previous prime is 13931141363. The next prime is 13931141443. The reversal of 13931141400 is 414113931.

13931141400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 135253749 + ... + 135253851.

Almost surely, 2^13931141400 is an apocalyptic number.

13931141400 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 13931141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28094451840).

13931141400 is an abundant number, since it is smaller than the sum of its proper divisors (42257762280).

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

13931141400 is a wasteful number, since it uses less digits than its factorization.

13931141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 13931141400 in words is "thirteen billion, nine hundred thirty-one million, one hundred forty-one thousand, four hundred".