9892109040 has 160 divisors (see below), whose sum is σ = 33513854976. Its totient is φ = 2393748480.

The previous prime is 9892109011. The next prime is 9892109057. The reversal of 9892109040 is 409012989.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 9892108983 and 9892109001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1599394 + ... + 1605566.

Almost surely, 2^9892109040 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 9892109040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16756927488).

9892109040 is an abundant number, since it is smaller than the sum of its proper divisors (23621745936).

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

9892109040 is a wasteful number, since it uses less digits than its factorization.

9892109040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6807 (or 6801 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 9892109040 is about 99459.0822398840. The cubic root of 9892109040 is about 2146.6585224455.

The spelling of 9892109040 in words is "nine billion, eight hundred ninety-two million, one hundred nine thousand, forty".