11213444515040 has 96 divisors (see below), whose sum is σ = 26890971287040. Its totient is φ = 4417909619200.

The previous prime is 11213444514991. The next prime is 11213444515057. The reversal of 11213444515040 is 4051544431211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11233451 + ... + 12190869.

It is an arithmetic number, because the mean of its divisors is an integer number (280114284240).

Almost surely, 2^{11213444515040} is an apocalyptic number.

11213444515040 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 11213444515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13445485643520).

11213444515040 is an abundant number, since it is smaller than the sum of its proper divisors (15677526772000).

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

11213444515040 is a wasteful number, since it uses less digits than its factorization.

11213444515040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958536 (or 958528 counting only the distinct ones).

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

Adding to 11213444515040 its reverse (4051544431211), we get a palindrome (15264988946251).

The spelling of 11213444515040 in words is "eleven trillion, two hundred thirteen billion, four hundred forty-four million, five hundred fifteen thousand, forty".