114070118400 has 1008 divisors, whose sum is σ = 488655085680. Its totient is φ = 26011238400.

The previous prime is 114070118399. The next prime is 114070118429. The reversal of 114070118400 is 4811070411.

114070118400 is a `hidden beast` number, since 1 + 140 + 7 + 0 + 118 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 270950190 + ... + 270950610.

Almost surely, 2^114070118400 is an apocalyptic number.

114070118400 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 114070118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244327542840).

114070118400 is an abundant number, since it is smaller than the sum of its proper divisors (374584967280).

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

114070118400 is an equidigital number, since it uses as much as digits as its factorization.

114070118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

Adding to 114070118400 its reverse (4811070411), we get a palindrome (118881188811).

The spelling of 114070118400 in words is "one hundred fourteen billion, seventy million, one hundred eighteen thousand, four hundred".