9412441920 has 448 divisors, whose sum is σ = 39950745600. Its totient is φ = 2037934080.

The previous prime is 9412441849. The next prime is 9412441931. The reversal of 9412441920 is 291442149.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1145025 + ... + 1153215.

Almost surely, 2^9412441920 is an apocalyptic number.

9412441920 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 9412441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19975372800).

9412441920 is an abundant number, since it is smaller than the sum of its proper divisors (30538303680).

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

9412441920 is a wasteful number, since it uses less digits than its factorization.

9412441920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8243 (or 8227 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 9412441920 is about 97017.7402334233. The cubic root of 9412441920 is about 2111.3850223929.

The spelling of 9412441920 in words is "nine billion, four hundred twelve million, four hundred forty-one thousand, nine hundred twenty".