11313444215040 has 288 divisors, whose sum is σ = 39422112912000. Its totient is φ = 2742302146560.

The previous prime is 11313444215033. The next prime is 11313444215063. The reversal of 11313444215040 is 4051244431311.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 11313444214992 and 11313444215010.

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, 508938646 + ... + 508960874.

It is an arithmetic number, because the mean of its divisors is an integer number (136882336500).

Almost surely, 2^{11313444215040} is an apocalyptic number.

11313444215040 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 11313444215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19711056456000).

11313444215040 is an abundant number, since it is smaller than the sum of its proper divisors (28108668696960).

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

11313444215040 is a wasteful number, since it uses less digits than its factorization.

11313444215040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34313 (or 34299 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 11313444215040 its reverse (4051244431311), we get a palindrome (15364688646351).

The spelling of 11313444215040 in words is "eleven trillion, three hundred thirteen billion, four hundred forty-four million, two hundred fifteen thousand, forty".