9920041012224 has 792 divisors, whose sum is σ = 35258659581600. Its totient is φ = 2684814999552.

The previous prime is 9920041012223. The next prime is 9920041012247. The reversal of 9920041012224 is 4222101400299.

9920041012224 is a `hidden beast` number, since 9 + 9 + 2 + 0 + 0 + 410 + 12 + 224 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (9920041012223) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1141148422 + ... + 1141157114.

Almost surely, 2^{9920041012224} 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 9920041012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17629329790800).

9920041012224 is an abundant number, since it is smaller than the sum of its proper divisors (25338618569376).

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

9920041012224 is a wasteful number, since it uses less digits than its factorization.

9920041012224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8778 (or 8724 counting only the distinct ones).

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

The spelling of 9920041012224 in words is "nine trillion, nine hundred twenty billion, forty-one million, twelve thousand, two hundred twenty-four".