114040001140 has 24 divisors (see below), whose sum is σ = 257905849320. Its totient is φ = 42107077248.

The previous prime is 114040001113. The next prime is 114040001149. The reversal of 114040001140 is 41100040411.

114040001140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 716204644 + 113323796496 = 26762^2 + 336636^2 .

It is a super-2 number, since 2×114040001140² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114040001149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219307435 + ... + 219307954.

It is an arithmetic number, because the mean of its divisors is an integer number (10746077055).

Almost surely, 2^114040001140 is an apocalyptic number.

114040001140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114040001140 is an abundant number, since it is smaller than the sum of its proper divisors (143865848180).

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

114040001140 is a wasteful number, since it uses less digits than its factorization.

114040001140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438615411 (or 438615409 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 114040001140 its reverse (41100040411), we get a palindrome (155140041551).

The spelling of 114040001140 in words is "one hundred fourteen billion, forty million, one thousand, one hundred forty".