9130413824 has 216 divisors, whose sum is σ = 23103536400. Its totient is φ = 3576545280.

The previous prime is 9130413797. The next prime is 9130413829. The reversal of 9130413824 is 4283140319.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9130413829) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6911084 + ... + 6912404.

Almost surely, 2^9130413824 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 9130413824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11551768200).

9130413824 is an abundant number, since it is smaller than the sum of its proper divisors (13973122576).

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

9130413824 is a wasteful number, since it uses less digits than its factorization.

9130413824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 9130413824 is about 95553.1989208106. The cubic root of 9130413824 is about 2090.0827805402.

The spelling of 9130413824 in words is "nine billion, one hundred thirty million, four hundred thirteen thousand, eight hundred twenty-four".