114032042040 has 128 divisors (see below), whose sum is σ = 393366044160. Its totient is φ = 25904530944.

The previous prime is 114032042021. The next prime is 114032042051. The reversal of 114032042040 is 40240230411.

It is a super-2 number, since 2×114032042040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 114032041998 and 114032042016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279499 + ... + 553338.

It is an arithmetic number, because the mean of its divisors is an integer number (3073172220).

Almost surely, 2^114032042040 is an apocalyptic number.

114032042040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114032042040 is an abundant number, since it is smaller than the sum of its proper divisors (279334002120).

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

114032042040 is a wasteful number, since it uses less digits than its factorization.

114032042040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833021 (or 833017 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 114032042040 its reverse (40240230411), we get a palindrome (154272272451).

The spelling of 114032042040 in words is "one hundred fourteen billion, thirty-two million, forty-two thousand, forty".