9785100440 has 64 divisors (see below), whose sum is σ = 22436870400. Its totient is φ = 3839585152.

The previous prime is 9785100421. The next prime is 9785100487. The reversal of 9785100440 is 440015879.

It is a junction number, because it is equal to n+sod(n) for n = 9785100394 and 9785100403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1182959 + ... + 1191201.

It is an arithmetic number, because the mean of its divisors is an integer number (350576100).

Almost surely, 2^9785100440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9785100440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11218435200).

9785100440 is an abundant number, since it is smaller than the sum of its proper divisors (12651769960).

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

9785100440 is a wasteful number, since it uses less digits than its factorization.

9785100440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8816 (or 8812 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 9785100440 is about 98919.6665987103. Note that the first 3 decimals coincide. The cubic root of 9785100440 is about 2138.8898979410.

The spelling of 9785100440 in words is "nine billion, seven hundred eighty-five million, one hundred thousand, four hundred forty".