32442333440 has 144 divisors (see below), whose sum is σ = 85106077056. Its totient is φ = 11751014400.

The previous prime is 32442333409. The next prime is 32442333449. The reversal of 32442333440 is 4433324423.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 32442333397 and 32442333406.

It is not an unprimeable number, because it can be changed into a prime (32442333449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3698660 + ... + 3707420.

It is an arithmetic number, because the mean of its divisors is an integer number (591014424).

Almost surely, 2^32442333440 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 32442333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42553038528).

32442333440 is an abundant number, since it is smaller than the sum of its proper divisors (52663743616).

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

32442333440 is a wasteful number, since it uses less digits than its factorization.

32442333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9056 (or 9042 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 32442333440 its reverse (4433324423), we get a palindrome (36875657863).

The spelling of 32442333440 in words is "thirty-two billion, four hundred forty-two million, three hundred thirty-three thousand, four hundred forty".