114002011401140 has 12 divisors (see below), whose sum is σ = 239404223942436. Its totient is φ = 45600804560448.

The previous prime is 114002011401133. The next prime is 114002011401143. The reversal of 114002011401140 is 41104110200411.

114002011401140 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 2 ways, for example, as 54000070128676 + 60001941272464 = 7348474^2 + 7746092^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 5700100570057 = 114002011401140 / (1 + 1 + 4 + 0 + 0 + 2 + 0 + 1 + 1 + 4 + 0 + 1 + 1 + 4 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114002011401143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2850050285009 + ... + 2850050285048.

It is an arithmetic number, because the mean of its divisors is an integer number (19950351995203).

Almost surely, 2^{114002011401140} is an apocalyptic number.

114002011401140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114002011401140 is an abundant number, since it is smaller than the sum of its proper divisors (125402212541296).

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

114002011401140 is a wasteful number, since it uses less digits than its factorization.

114002011401140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5700100570066 (or 5700100570064 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 114002011401140 its reverse (41104110200411), we get a palindrome (155106121601551).

The spelling of 114002011401140 in words is "one hundred fourteen trillion, two billion, eleven million, four hundred one thousand, one hundred forty".