114150340040 has 128 divisors (see below), whose sum is σ = 282908747520. Its totient is φ = 41449605120.

The previous prime is 114150340021. The next prime is 114150340043. The reversal of 114150340040 is 40043051411.

It is a junction number, because it is equal to n+sod(n) for n = 114150339988 and 114150340015.

It is not an unprimeable number, because it can be changed into a prime (114150340043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56593112 + ... + 56595128.

It is an arithmetic number, because the mean of its divisors is an integer number (2210224590).

Almost surely, 2^114150340040 is an apocalyptic number.

114150340040 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 114150340040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141454373760).

114150340040 is an abundant number, since it is smaller than the sum of its proper divisors (168758407480).

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

114150340040 is a wasteful number, since it uses less digits than its factorization.

114150340040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3124 (or 3098 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 114150340040 its reverse (40043051411), we get a palindrome (154193391451).

The spelling of 114150340040 in words is "one hundred fourteen billion, one hundred fifty million, three hundred forty thousand, forty".