14140112400 has 360 divisors, whose sum is σ = 51043399680. Its totient is φ = 3621749760.

The previous prime is 14140112347. The next prime is 14140112411. The reversal of 14140112400 is 421104141.

14140112400 is a `hidden beast` number, since 1 + 414 + 0 + 11 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11054961 + ... + 11056239.

Almost surely, 2^14140112400 is an apocalyptic number.

14140112400 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 14140112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25521699840).

14140112400 is an abundant number, since it is smaller than the sum of its proper divisors (36903287280).

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

14140112400 is a wasteful number, since it uses less digits than its factorization.

14140112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 14140112400 its reverse (421104141), we get a palindrome (14561216541).

The spelling of 14140112400 in words is "fourteen billion, one hundred forty million, one hundred twelve thousand, four hundred".