114032544240 has 160 divisors (see below), whose sum is σ = 377930382336. Its totient is φ = 28341964800.

The previous prime is 114032544229. The next prime is 114032544253. The reversal of 114032544240 is 42445230411.

It is a super-2 number, since 2×114032544240² (a number of 23 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 = 114032544198 and 114032544207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284565 + ... + 555915.

Almost surely, 2^114032544240 is an apocalyptic number.

114032544240 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 114032544240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188965191168).

114032544240 is an abundant number, since it is smaller than the sum of its proper divisors (263897838096).

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

114032544240 is a wasteful number, since it uses less digits than its factorization.

114032544240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271487 (or 271481 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 114032544240 its reverse (42445230411), we get a palindrome (156477774651).

The spelling of 114032544240 in words is "one hundred fourteen billion, thirty-two million, five hundred forty-four thousand, two hundred forty".