4412020096 has 256 divisors, whose sum is σ = 10751616000. Its totient is φ = 1795368960.

The previous prime is 4412020087. The next prime is 4412020097. The reversal of 4412020096 is 6900202144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4412020097) 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 31 ways as a sum of consecutive naturals, for example, 93872745 + ... + 93872791.

It is an arithmetic number, because the mean of its divisors is an integer number (41998500).

Almost surely, 2^4412020096 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 4412020096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5375808000).

4412020096 is an abundant number, since it is smaller than the sum of its proper divisors (6339595904).

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

4412020096 is a wasteful number, since it uses less digits than its factorization.

4412020096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 4412020096 is about 66423.0388946486. The cubic root of 4412020096 is about 1640.1333542167.

The spelling of 4412020096 in words is "four billion, four hundred twelve million, twenty thousand, ninety-six".