14113142331400 has 192 divisors, whose sum is σ = 37784780369280. Its totient is φ = 4802247475200.

The previous prime is 14113142331367. The next prime is 14113142331487. The reversal of 14113142331400 is 413324131141.

14113142331400 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 (28).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113692167 + ... + 113816233.

It is an arithmetic number, because the mean of its divisors is an integer number (196795731090).

Almost surely, 2^{14113142331400} is an apocalyptic number.

14113142331400 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 14113142331400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18892390184640).

14113142331400 is an abundant number, since it is smaller than the sum of its proper divisors (23671638037880).

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

14113142331400 is a wasteful number, since it uses less digits than its factorization.

14113142331400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124704 (or 124695 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 14113142331400 its reverse (413324131141), we get a palindrome (14526466462541).

The spelling of 14113142331400 in words is "fourteen trillion, one hundred thirteen billion, one hundred forty-two million, three hundred thirty-one thousand, four hundred".