114130334400 has 168 divisors, whose sum is σ = 374603156304. Its totient is φ = 30421708800.

The previous prime is 114130334363. The next prime is 114130334441. The reversal of 114130334400 is 4433031411.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 17339110 + ... + 17345690.

Almost surely, 2^114130334400 is an apocalyptic number.

114130334400 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 114130334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187301578152).

114130334400 is an abundant number, since it is smaller than the sum of its proper divisors (260472821904).

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

114130334400 is a wasteful number, since it uses less digits than its factorization.

114130334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10219 (or 10204 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 114130334400 its reverse (4433031411), we get a palindrome (118563365811).

The spelling of 114130334400 in words is "one hundred fourteen billion, one hundred thirty million, three hundred thirty-four thousand, four hundred".