114038976040 has 128 divisors (see below), whose sum is σ = 288465649920. Its totient is φ = 40213964800.

The previous prime is 114038975959. The next prime is 114038976041. The reversal of 114038976040 is 40679830411.

It is not an unprimeable number, because it can be changed into a prime (114038976041) 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, 2993754 + ... + 3031606.

It is an arithmetic number, because the mean of its divisors is an integer number (2253637890).

Almost surely, 2^114038976040 is an apocalyptic number.

114038976040 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 114038976040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144232824960).

114038976040 is an abundant number, since it is smaller than the sum of its proper divisors (174426673880).

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

114038976040 is a wasteful number, since it uses less digits than its factorization.

114038976040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38083 (or 38079 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 114038976040 in words is "one hundred fourteen billion, thirty-eight million, nine hundred seventy-six thousand, forty".