114133111040 has 144 divisors (see below), whose sum is σ = 295302182448. Its totient is φ = 42014343168.

The previous prime is 114133111033. The next prime is 114133111061. The reversal of 114133111040 is 40111331411.

It can be written as a sum of positive squares in 8 ways, for example, as 21649002496 + 92484108544 = 147136^2 + 304112^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5597504 + ... + 5617856.

Almost surely, 2^114133111040 is an apocalyptic number.

114133111040 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 114133111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147651091224).

114133111040 is an abundant number, since it is smaller than the sum of its proper divisors (181169071408).

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

114133111040 is a wasteful number, since it uses less digits than its factorization.

114133111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20724 (or 20710 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 114133111040 its reverse (40111331411), we get a palindrome (154244442451).

The spelling of 114133111040 in words is "one hundred fourteen billion, one hundred thirty-three million, one hundred eleven thousand, forty".