9921284406 has 96 divisors (see below), whose sum is σ = 24370600800. Its totient is φ = 2989483200.

The previous prime is 9921284389. The next prime is 9921284431. The reversal of 9921284406 is 6044821299.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1178460 + ... + 1186848.

It is an arithmetic number, because the mean of its divisors is an integer number (253860425).

Almost surely, 2^9921284406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9921284406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12185300400).

9921284406 is an abundant number, since it is smaller than the sum of its proper divisors (14449316394).

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

9921284406 is a wasteful number, since it uses less digits than its factorization.

9921284406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8603 (or 8586 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 9921284406 is about 99605.6444484950. The cubic root of 9921284406 is about 2148.7668721816.

The spelling of 9921284406 in words is "nine billion, nine hundred twenty-one million, two hundred eighty-four thousand, four hundred six".