114241014234440 has 96 divisors (see below), whose sum is σ = 267783616365480. Its totient is φ = 43851007488000.

The previous prime is 114241014234439. The next prime is 114241014234517. The reversal of 114241014234440 is 44432410142411.

It can be written as a sum of positive squares in 12 ways, for example, as 3773220780484 + 110467793453956 = 1942478^2 + 10510366^2 .

It is a super-2 number, since 2×114241014234440² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114241014234440.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9824621 + ... + 18027900.

Almost surely, 2^{114241014234440} is an apocalyptic number.

114241014234440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114241014234440 is an abundant number, since it is smaller than the sum of its proper divisors (153542602131040).

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

114241014234440 is a wasteful number, since it uses less digits than its factorization.

114241014234440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27852675 (or 27852630 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 35.

Adding to 114241014234440 its reverse (44432410142411), we get a palindrome (158673424376851).

The spelling of 114241014234440 in words is "one hundred fourteen trillion, two hundred forty-one billion, fourteen million, two hundred thirty-four thousand, four hundred forty".