1106261440 has 112 divisors (see below), whose sum is σ = 2687311872. Its totient is φ = 433714176.

The previous prime is 1106261363. The next prime is 1106261441. The reversal of 1106261440 is 441626011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106261441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6624237 + ... + 6624403.

It is an arithmetic number, because the mean of its divisors is an integer number (23993856).

Almost surely, 2^1106261440 is an apocalyptic number.

1106261440 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 1106261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343655936).

1106261440 is an abundant number, since it is smaller than the sum of its proper divisors (1581050432).

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

1106261440 is a wasteful number, since it uses less digits than its factorization.

1106261440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 1106261440 is about 33260.5087152918. The cubic root of 1106261440 is about 1034.2350653487.

Adding to 1106261440 its reverse (441626011), we get a palindrome (1547887451).

The spelling of 1106261440 in words is "one billion, one hundred six million, two hundred sixty-one thousand, four hundred forty".