114011042040 has 288 divisors, whose sum is σ = 453718746000. Its totient is φ = 24688032768.

The previous prime is 114011042027. The next prime is 114011042137. The reversal of 114011042040 is 40240110411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 165076 + ... + 505244.

Almost surely, 2^114011042040 is an apocalyptic number.

114011042040 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 114011042040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226859373000).

114011042040 is an abundant number, since it is smaller than the sum of its proper divisors (339707703960).

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

114011042040 is a wasteful number, since it uses less digits than its factorization.

114011042040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340219 (or 340205 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 114011042040 its reverse (40240110411), we get a palindrome (154251152451).

The spelling of 114011042040 in words is "one hundred fourteen billion, eleven million, forty-two thousand, forty".