114331443044040 has 160 divisors (see below), whose sum is σ = 384410146923000. Its totient is φ = 30478113340416.

The previous prime is 114331443044011. The next prime is 114331443044069. The reversal of 114331443044040 is 40440344133411.

114331443044040 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 3 + 144 + 30 + 440 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (114331443044011) and next prime (114331443044069).

It can be written as a sum of positive squares in 4 ways, for example, as 85557209081796 + 28774233962244 = 9249714^2 + 5364162^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 114331443043986 and 114331443044004.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3676906 + ... + 15562214.

Almost surely, 2^{114331443044040} is an apocalyptic number.

114331443044040 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 114331443044040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192205073461500).

114331443044040 is an abundant number, since it is smaller than the sum of its proper divisors (270078703878960).

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

114331443044040 is a wasteful number, since it uses less digits than its factorization.

114331443044040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11888301 (or 11888288 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 114331443044040 its reverse (40440344133411), we get a palindrome (154771787177451).

The spelling of 114331443044040 in words is "one hundred fourteen trillion, three hundred thirty-one billion, four hundred forty-three million, forty-four thousand, forty".