11241111040000 has 260 divisors, whose sum is σ = 28775754592200. Its totient is φ = 4386734080000.

The previous prime is 11241111039997. The next prime is 11241111040031. The reversal of 11241111040000 is 4011114211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 104906451 + ... + 105013549.

Almost surely, 2^{11241111040000} is an apocalyptic number.

11241111040000 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 11241111040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14387877296100).

11241111040000 is an abundant number, since it is smaller than the sum of its proper divisors (17534643552200).

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

11241111040000 is an frugal number, since it uses more digits than its factorization.

11241111040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107184 (or 107147 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11241111040000 its reverse (4011114211), we get a palindrome (11245122154211).

The spelling of 11241111040000 in words is "eleven trillion, two hundred forty-one billion, one hundred eleven million, forty thousand".