114002041320 has 48 divisors (see below), whose sum is σ = 370506635460. Its totient is φ = 30400544256.

The previous prime is 114002041319. The next prime is 114002041333. The reversal of 114002041320 is 23140200411.

114002041320 is a `hidden beast` number, since 1 + 140 + 0 + 204 + 1 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 113950804356 + 51236964 = 337566^2 + 7158^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 114002041293 and 114002041302.

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 11 ways as a sum of consecutive naturals, for example, 158335809 + ... + 158336528.

Almost surely, 2^114002041320 is an apocalyptic number.

114002041320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114002041320 is an abundant number, since it is smaller than the sum of its proper divisors (256504594140).

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

114002041320 is a wasteful number, since it uses less digits than its factorization.

114002041320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316672354 (or 316672347 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 114002041320 its reverse (23140200411), we get a palindrome (137142241731).

The spelling of 114002041320 in words is "one hundred fourteen billion, two million, forty-one thousand, three hundred twenty".