114312044033040 has 160 divisors (see below), whose sum is σ = 426306570347520. Its totient is φ = 24753284716032.

The previous prime is 114312044033017. The next prime is 114312044033071. The reversal of 114312044033040 is 40330440213411.

It is a super-2 number, since 2×114312044033040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 114312044032989 and 114312044033007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1790570274 + ... + 1790634113.

It is an arithmetic number, because the mean of its divisors is an integer number (2664416064672).

Almost surely, 2^{114312044033040} is an apocalyptic number.

114312044033040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114312044033040 is an abundant number, since it is smaller than the sum of its proper divisors (311994526314480).

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

114312044033040 is a wasteful number, since it uses less digits than its factorization.

114312044033040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3581204429 (or 3581204423 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 114312044033040 its reverse (40330440213411), we get a palindrome (154642484246451).

The spelling of 114312044033040 in words is "one hundred fourteen trillion, three hundred twelve billion, forty-four million, thirty-three thousand, forty".