10905416040 has 96 divisors (see below), whose sum is σ = 33281434080. Its totient is φ = 2858711424.

The previous prime is 10905416009. The next prime is 10905416047. The reversal of 10905416040 is 4061450901.

It is a happy number.

It is a Cunningham number, because it is equal to 104429²-1.

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 = 10905415989 and 10905416007.

It is not an unprimeable number, because it can be changed into a prime (10905416047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404667 + ... + 430773.

It is an arithmetic number, because the mean of its divisors is an integer number (346681605).

Almost surely, 2^10905416040 is an apocalyptic number.

10905416040 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 10905416040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16640717040).

10905416040 is an abundant number, since it is smaller than the sum of its proper divisors (22376018040).

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

10905416040 is a wasteful number, since it uses less digits than its factorization.

10905416040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26239 (or 26176 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 10905416040 its reverse (4061450901), we get a palindrome (14966866941).

The spelling of 10905416040 in words is "ten billion, nine hundred five million, four hundred sixteen thousand, forty".