9221415840 has 720 divisors, whose sum is σ = 40805797032. Its totient is φ = 1943875584.

The previous prime is 9221415799. The next prime is 9221415913. The reversal of 9221415840 is 485141229.

It can be written as a sum of positive squares in 4 ways, for example, as 3157990416 + 6063425424 = 56196^2 + 77868^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9221415795 and 9221415804.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8254962 + ... + 8256078.

Almost surely, 2^9221415840 is an apocalyptic number.

9221415840 is a gapful number since it is divisible by the number (90) 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 9221415840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20402898516).

9221415840 is an abundant number, since it is smaller than the sum of its proper divisors (31584381192).

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

9221415840 is a wasteful number, since it uses less digits than its factorization.

9221415840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 9221415840 is about 96028.2033571388. The cubic root of 9221415840 is about 2097.0037269608.

The spelling of 9221415840 in words is "nine billion, two hundred twenty-one million, four hundred fifteen thousand, eight hundred forty".