114031334400 has 264 divisors, whose sum is σ = 379413971904. Its totient is φ = 30203904000.

The previous prime is 114031334387. The next prime is 114031334429. The reversal of 114031334400 is 4433130411.

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

It is a congruent number.

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, 11591884 + ... + 11601716.

It is an arithmetic number, because the mean of its divisors is an integer number (1437174136).

Almost surely, 2^114031334400 is an apocalyptic number.

114031334400 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 114031334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189706985952).

114031334400 is an abundant number, since it is smaller than the sum of its proper divisors (265382637504).

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

114031334400 is a wasteful number, since it uses less digits than its factorization.

114031334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10017 (or 9994 counting only the distinct ones).

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

Adding to 114031334400 its reverse (4433130411), we get a palindrome (118464464811).

The spelling of 114031334400 in words is "one hundred fourteen billion, thirty-one million, three hundred thirty-four thousand, four hundred".