11331110411040 has 384 divisors, whose sum is σ = 42968491130880. Its totient is φ = 2451965644800.

The previous prime is 11331110410979. The next prime is 11331110411041. The reversal of 11331110411040 is 4011401113311.

11331110411040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 11331110410998 and 11331110411016.

It is not an unprimeable number, because it can be changed into a prime (11331110411041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93848310 + ... + 93968970.

It is an arithmetic number, because the mean of its divisors is an integer number (111897112320).

Almost surely, 2^{11331110411040} is an apocalyptic number.

11331110411040 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 11331110411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21484245565440).

11331110411040 is an abundant number, since it is smaller than the sum of its proper divisors (31637380719840).

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

11331110411040 is a wasteful number, since it uses less digits than its factorization.

11331110411040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122176 (or 122168 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 11331110411040 its reverse (4011401113311), we get a palindrome (15342511524351).

The spelling of 11331110411040 in words is "eleven trillion, three hundred thirty-one billion, one hundred ten million, four hundred eleven thousand, forty".