114040441000 has 96 divisors (see below), whose sum is σ = 276375860280. Its totient is φ = 44042880000.

The previous prime is 114040440979. The next prime is 114040441001. The reversal of 114040441000 is 144040411.

It can be written as a sum of positive squares in 12 ways, for example, as 9386896996 + 104653544004 = 96886^2 + 323502^2 .

It is not an unprimeable number, because it can be changed into a prime (114040441001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 773200 + ... + 908800.

Almost surely, 2^114040441000 is an apocalyptic number.

114040441000 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 114040441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138187930140).

114040441000 is an abundant number, since it is smaller than the sum of its proper divisors (162335419280).

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

114040441000 is a wasteful number, since it uses less digits than its factorization.

114040441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135680 (or 135637 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 114040441000 its reverse (144040411), we get a palindrome (114184481411).

The spelling of 114040441000 in words is "one hundred fourteen billion, forty million, four hundred forty-one thousand".