4022432441120 has 192 divisors, whose sum is σ = 10008738432000. Its totient is φ = 1526002851840.

The previous prime is 4022432441099. The next prime is 4022432441143. The reversal of 4022432441120 is 211442342204.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45895901 + ... + 45983459.

It is an arithmetic number, because the mean of its divisors is an integer number (52128846000).

Almost surely, 2^{4022432441120} is an apocalyptic number.

4022432441120 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 4022432441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5004369216000).

4022432441120 is an abundant number, since it is smaller than the sum of its proper divisors (5986305990880).

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

4022432441120 is a wasteful number, since it uses less digits than its factorization.

4022432441120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87811 (or 87803 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 4022432441120 its reverse (211442342204), we get a palindrome (4233874783324).

The spelling of 4022432441120 in words is "four trillion, twenty-two billion, four hundred thirty-two million, four hundred forty-one thousand, one hundred twenty".