32424042120 has 128 divisors (see below), whose sum is σ = 99342288000. Its totient is φ = 8464332800.

The previous prime is 32424042043. The next prime is 32424042137. The reversal of 32424042120 is 2124042423.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1063651 + ... + 1093709.

It is an arithmetic number, because the mean of its divisors is an integer number (776111625).

Almost surely, 2^32424042120 is an apocalyptic number.

32424042120 is a gapful number since it is divisible by the number (30) 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 32424042120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49671144000).

32424042120 is an abundant number, since it is smaller than the sum of its proper divisors (66918245880).

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

32424042120 is a wasteful number, since it uses less digits than its factorization.

32424042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30263 (or 30259 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 32424042120 its reverse (2124042423), we get a palindrome (34548084543).

The spelling of 32424042120 in words is "thirty-two billion, four hundred twenty-four million, forty-two thousand, one hundred twenty".