1114132241440 has 48 divisors (see below), whose sum is σ = 2633540441112. Its totient is φ = 445415348224.

The previous prime is 1114132241401. The next prime is 1114132241447. The reversal of 1114132241440 is 441422314111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1092250731664 + 21881509776 = 1045108^2 + 147924^2 .

It is a super-2 number, since 2×1114132241440² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1114132241399 and 1114132241408.

It is not an unprimeable number, because it can be changed into a prime (1114132241447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1554589 + ... + 2155228.

Almost surely, 2^{1114132241440} is an apocalyptic number.

1114132241440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1114132241440 is an abundant number, since it is smaller than the sum of its proper divisors (1519408199672).

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

1114132241440 is a wasteful number, since it uses less digits than its factorization.

1114132241440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3711709 (or 3711701 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 1114132241440 its reverse (441422314111), we get a palindrome (1555554555551).

The spelling of 1114132241440 in words is "one trillion, one hundred fourteen billion, one hundred thirty-two million, two hundred forty-one thousand, four hundred forty".