114140014400 has 42 divisors (see below), whose sum is σ = 280855776870. Its totient is φ = 45656005120.

The previous prime is 114140014369. The next prime is 114140014403. The reversal of 114140014400 is 4410041411.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 587189824 + 113552824576 = 24232^2 + 336976^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114140014403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35667155 + ... + 35670354.

Almost surely, 2^114140014400 is an apocalyptic number.

114140014400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114140014400 is an abundant number, since it is smaller than the sum of its proper divisors (166715762470).

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

114140014400 is an equidigital number, since it uses as much as digits as its factorization.

114140014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71337531 (or 71337516 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 114140014400 its reverse (4410041411), we get a palindrome (118550055811).

The spelling of 114140014400 in words is "one hundred fourteen billion, one hundred forty million, fourteen thousand, four hundred".