114055334400 has 240 divisors, whose sum is σ = 430600636224. Its totient is φ = 26069729280.

The previous prime is 114055334387. The next prime is 114055334417. The reversal of 114055334400 is 4433550411.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56644 + ... + 480956.

Almost surely, 2^114055334400 is an apocalyptic number.

114055334400 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 114055334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215300318112).

114055334400 is an abundant number, since it is smaller than the sum of its proper divisors (316545301824).

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

114055334400 is an equidigital number, since it uses as much as digits as its factorization.

114055334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424351 (or 424330 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 114055334400 its reverse (4433550411), we get a palindrome (118488884811).

The spelling of 114055334400 in words is "one hundred fourteen billion, fifty-five million, three hundred thirty-four thousand, four hundred".