11105031532440 has 128 divisors (see below), whose sum is σ = 33593975976960. Its totient is φ = 2936627326464.

The previous prime is 11105031532421. The next prime is 11105031532457. The reversal of 11105031532440 is 4423513050111.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11105031532398 and 11105031532407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8890597 + ... + 10062443.

It is an arithmetic number, because the mean of its divisors is an integer number (262452937320).

Almost surely, 2^{11105031532440} is an apocalyptic number.

11105031532440 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 11105031532440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16796987988480).

11105031532440 is an abundant number, since it is smaller than the sum of its proper divisors (22488944444520).

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

11105031532440 is a wasteful number, since it uses less digits than its factorization.

11105031532440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172521 (or 1172517 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 11105031532440 its reverse (4423513050111), we get a palindrome (15528544582551).

The spelling of 11105031532440 in words is "eleven trillion, one hundred five billion, thirty-one million, five hundred thirty-two thousand, four hundred forty".