1115413413200 has 120 divisors (see below), whose sum is σ = 2747643957240. Its totient is φ = 434886451200.

The previous prime is 1115413413173. The next prime is 1115413413203. The reversal of 1115413413200 is 23143145111.

It can be written as a sum of positive squares in 12 ways, for example, as 1079279965456 + 36133447744 = 1038884^2 + 190088^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1115413413200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1115413413203) 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, 18288356 + ... + 18349244.

It is an arithmetic number, because the mean of its divisors is an integer number (22897032977).

Almost surely, 2^{1115413413200} is an apocalyptic number.

1115413413200 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 1115413413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373821978620).

1115413413200 is an abundant number, since it is smaller than the sum of its proper divisors (1632230544040).

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

1115413413200 is a wasteful number, since it uses less digits than its factorization.

1115413413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62065 (or 62054 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 1115413413200 its reverse (23143145111), we get a palindrome (1138556558311).

The spelling of 1115413413200 in words is "one trillion, one hundred fifteen billion, four hundred thirteen million, four hundred thirteen thousand, two hundred".