1115352441440 has 192 divisors, whose sum is σ = 2683347803136. Its totient is φ = 438050629632.

The previous prime is 1115352441439. The next prime is 1115352441473. The reversal of 1115352441440 is 441442535111.

It is a super-2 number, since 2×1115352441440² (a number of 25 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 1115352441440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1633019339 + ... + 1633020021.

It is an arithmetic number, because the mean of its divisors is an integer number (13975769808).

Almost surely, 2^{1115352441440} is an apocalyptic number.

1115352441440 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 1115352441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341673901568).

1115352441440 is an abundant number, since it is smaller than the sum of its proper divisors (1567995361696).

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

1115352441440 is a wasteful number, since it uses less digits than its factorization.

1115352441440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

Adding to 1115352441440 its reverse (441442535111), we get a palindrome (1556794976551).

The spelling of 1115352441440 in words is "one trillion, one hundred fifteen billion, three hundred fifty-two million, four hundred forty-one thousand, four hundred forty".