4402832041120 has 96 divisors (see below), whose sum is σ = 10488084913152. Its totient is φ = 1746565343232.

The previous prime is 4402832041117. The next prime is 4402832041129. The reversal of 4402832041120 is 211402382044.

It is not an unprimeable number, because it can be changed into a prime (4402832041129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9149244 + ... + 9618436.

It is an arithmetic number, because the mean of its divisors is an integer number (109250884512).

Almost surely, 2^{4402832041120} is an apocalyptic number.

4402832041120 is a gapful number since it is divisible by the number (40) 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 4402832041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5244042456576).

4402832041120 is an abundant number, since it is smaller than the sum of its proper divisors (6085252872032).

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

4402832041120 is a wasteful number, since it uses less digits than its factorization.

4402832041120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469694 (or 469686 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The spelling of 4402832041120 in words is "four trillion, four hundred two billion, eight hundred thirty-two million, forty-one thousand, one hundred twenty".