11105512440 has 128 divisors (see below), whose sum is σ = 36586667520. Its totient is φ = 2674368000.

The previous prime is 11105512409. The next prime is 11105512459. The reversal of 11105512440 is 4421550111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11105512440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171462 + ... + 227178.

It is an arithmetic number, because the mean of its divisors is an integer number (285833340).

Almost surely, 2^11105512440 is an apocalyptic number.

11105512440 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 11105512440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18293333760).

11105512440 is an abundant number, since it is smaller than the sum of its proper divisors (25481155080).

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

11105512440 is a wasteful number, since it uses less digits than its factorization.

11105512440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55893 (or 55889 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The spelling of 11105512440 in words is "eleven billion, one hundred five million, five hundred twelve thousand, four hundred forty".