11330211001140 has 144 divisors (see below), whose sum is σ = 34453739069568. Its totient is φ = 3013885078272.

The previous prime is 11330211001061. The next prime is 11330211001141. The reversal of 11330211001140 is 4110011203311.

It is a happy number.

11330211001140 is a `hidden beast` number, since 11 + 330 + 211 + 0 + 0 + 114 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11330211001141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188564782 + ... + 188624858.

It is an arithmetic number, because the mean of its divisors is an integer number (239262076872).

Almost surely, 2^{11330211001140} is an apocalyptic number.

11330211001140 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 11330211001140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17226869534784).

11330211001140 is an abundant number, since it is smaller than the sum of its proper divisors (23123528068428).

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

11330211001140 is a wasteful number, since it uses less digits than its factorization.

11330211001140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62678 (or 62673 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11330211001140 its reverse (4110011203311), we get a palindrome (15440222204451).

The spelling of 11330211001140 in words is "eleven trillion, three hundred thirty billion, two hundred eleven million, one thousand, one hundred forty".