114413312413400 has 864 divisors, whose sum is σ = 365436474631200. Its totient is φ = 32591370240000.

The previous prime is 114413312413321. The next prime is 114413312413417. The reversal of 114413312413400 is 4314213314411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2891468816 + ... + 2891508384.

It is an arithmetic number, because the mean of its divisors is an integer number (422958882675).

Almost surely, 2^{114413312413400} is an apocalyptic number.

114413312413400 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 114413312413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182718237315600).

114413312413400 is an abundant number, since it is smaller than the sum of its proper divisors (251023162217800).

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

114413312413400 is a wasteful number, since it uses less digits than its factorization.

114413312413400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39741 (or 39708 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 114413312413400 its reverse (4314213314411), we get a palindrome (118727525727811).

The spelling of 114413312413400 in words is "one hundred fourteen trillion, four hundred thirteen billion, three hundred twelve million, four hundred thirteen thousand, four hundred".