11041007120640 has 864 divisors, whose sum is σ = 44648816808960. Its totient is φ = 2466534260736.

The previous prime is 11041007120623. The next prime is 11041007120677. The reversal of 11041007120640 is 4602170014011.

11041007120640 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 1 + 0 + 0 + 7 + 12 + 0 + 640 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3551303406 + ... + 3551306514.

Almost surely, 2^{11041007120640} is an apocalyptic number.

11041007120640 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 11041007120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22324408404480).

11041007120640 is an abundant number, since it is smaller than the sum of its proper divisors (33607809688320).

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

11041007120640 is a wasteful number, since it uses less digits than its factorization.

11041007120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4127 (or 4110 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 11041007120640 its reverse (4602170014011), we get a palindrome (15643177134651).

The spelling of 11041007120640 in words is "eleven trillion, forty-one billion, seven million, one hundred twenty thousand, six hundred forty".