114036255412400 has 240 divisors, whose sum is σ = 291824182890240. Its totient is φ = 42701223859200.

The previous prime is 114036255412291. The next prime is 114036255412433. The reversal of 114036255412400 is 4214552630411.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 360712799 + ... + 361028801.

It is an arithmetic number, because the mean of its divisors is an integer number (1215934095376).

Almost surely, 2^{114036255412400} is an apocalyptic number.

114036255412400 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 114036255412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145912091445120).

114036255412400 is an abundant number, since it is smaller than the sum of its proper divisors (177787927477840).

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

114036255412400 is a wasteful number, since it uses less digits than its factorization.

114036255412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316604 (or 316593 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The spelling of 114036255412400 in words is "one hundred fourteen trillion, thirty-six billion, two hundred fifty-five million, four hundred twelve thousand, four hundred".