114044200400 has 60 divisors (see below), whose sum is σ = 295067450412. Its totient is φ = 42108625920.

The previous prime is 114044200393. The next prime is 114044200411. The reversal of 114044200400 is 4002440411.

It is a happy number.

114044200400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 24652768144 + 89391432256 = 157012^2 + 298984^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10960589 + ... + 10970988.

Almost surely, 2^114044200400 is an apocalyptic number.

114044200400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114044200400 is an abundant number, since it is smaller than the sum of its proper divisors (181023250012).

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

114044200400 is a wasteful number, since it uses less digits than its factorization.

114044200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21931608 (or 21931597 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 114044200400 its reverse (4002440411), we get a palindrome (118046640811).

The spelling of 114044200400 in words is "one hundred fourteen billion, forty-four million, two hundred thousand, four hundred".