11105708040 has 512 divisors, whose sum is σ = 43794432000. Its totient is φ = 2450746368.

The previous prime is 11105708017. The next prime is 11105708041. The reversal of 11105708040 is 4080750111.

11105708040 is a `hidden beast` number, since 1 + 1 + 10 + 570 + 80 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11105707995 and 11105708013.

It is not an unprimeable number, because it can be changed into a prime (11105708041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41285026 + ... + 41285294.

It is an arithmetic number, because the mean of its divisors is an integer number (85536000).

Almost surely, 2^11105708040 is an apocalyptic number.

11105708040 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 11105708040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21897216000).

11105708040 is an abundant number, since it is smaller than the sum of its proper divisors (32688723960).

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

11105708040 is a wasteful number, since it uses less digits than its factorization.

11105708040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The spelling of 11105708040 in words is "eleven billion, one hundred five million, seven hundred eight thousand, forty".