9409045056 has 224 divisors, whose sum is σ = 26292584448. Its totient is φ = 2966845440.

The previous prime is 9409045039. The next prime is 9409045127. The reversal of 9409045056 is 6505409049.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 9409044999 and 9409045017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49261921 + ... + 49262111.

Almost surely, 2^9409045056 is an apocalyptic number.

9409045056 is a gapful number since it is divisible by the number (96) 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 9409045056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13146292224).

9409045056 is an abundant number, since it is smaller than the sum of its proper divisors (16883539392).

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

9409045056 is a wasteful number, since it uses less digits than its factorization.

9409045056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 9409045056 is about 97000.2322471446. The cubic root of 9409045056 is about 2111.1309986660.

The spelling of 9409045056 in words is "nine billion, four hundred nine million, forty-five thousand, fifty-six".