11334031233040 has 80 divisors (see below), whose sum is σ = 26425254769200. Its totient is φ = 4520951398400.

The previous prime is 11334031233001. The next prime is 11334031233067. The reversal of 11334031233040 is 4033213043311.

It can be written as a sum of positive squares in 8 ways, for example, as 572062297104 + 10761968935936 = 756348^2 + 3280544^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110592702 + ... + 110695138.

It is an arithmetic number, because the mean of its divisors is an integer number (330315684615).

Almost surely, 2^{11334031233040} is an apocalyptic number.

11334031233040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11334031233040 is an abundant number, since it is smaller than the sum of its proper divisors (15091223536160).

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

11334031233040 is a wasteful number, since it uses less digits than its factorization.

11334031233040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106300 (or 106294 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 11334031233040 its reverse (4033213043311), we get a palindrome (15367244276351).

The spelling of 11334031233040 in words is "eleven trillion, three hundred thirty-four billion, thirty-one million, two hundred thirty-three thousand, forty".