114406223040 has 448 divisors, whose sum is σ = 428026982400. Its totient is φ = 28686016512.

The previous prime is 114406223039. The next prime is 114406223111. The reversal of 114406223040 is 40322604411.

It is a happy number.

114406223040 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 0 + 622 + 30 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 114406222995 and 114406223013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22487377 + ... + 22492463.

Almost surely, 2^114406223040 is an apocalyptic number.

114406223040 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 114406223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214013491200).

114406223040 is an abundant number, since it is smaller than the sum of its proper divisors (313620759360).

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

114406223040 is a wasteful number, since it uses less digits than its factorization.

114406223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5269 (or 5253 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 114406223040 its reverse (40322604411), we get a palindrome (154728827451).

The spelling of 114406223040 in words is "one hundred fourteen billion, four hundred six million, two hundred twenty-three thousand, forty".