11331121341040 has 40 divisors (see below), whose sum is σ = 26352452129760. Its totient is φ = 4531141867776.

The previous prime is 11331121340983. The next prime is 11331121341073. The reversal of 11331121341040 is 4014312113311.

11331121341040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 11331121340996 and 11331121341014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20137444 + ... + 20692483.

It is an arithmetic number, because the mean of its divisors is an integer number (658811303244).

Almost surely, 2^{11331121341040} is an apocalyptic number.

11331121341040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11331121341040 is an abundant number, since it is smaller than the sum of its proper divisors (15021330788720).

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

11331121341040 is a wasteful number, since it uses less digits than its factorization.

11331121341040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40833409 (or 40833403 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 11331121341040 its reverse (4014312113311), we get a palindrome (15345433454351).

The spelling of 11331121341040 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty-one million, three hundred forty-one thousand, forty".