4032332241040 has 80 divisors (see below), whose sum is σ = 9464239428480. Its totient is φ = 1597679697920.

The previous prime is 4032332241019. The next prime is 4032332241079. The reversal of 4032332241040 is 401422332304.

4032332241040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3132405 + ... + 4228075.

It is an arithmetic number, because the mean of its divisors is an integer number (118302992856).

Almost surely, 2^{4032332241040} is an apocalyptic number.

4032332241040 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 4032332241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4732119714240).

4032332241040 is an abundant number, since it is smaller than the sum of its proper divisors (5431907187440).

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

4032332241040 is a wasteful number, since it uses less digits than its factorization.

4032332241040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096120 (or 1096114 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 4032332241040 its reverse (401422332304), we get a palindrome (4433754573344).

The spelling of 4032332241040 in words is "four trillion, thirty-two billion, three hundred thirty-two million, two hundred forty-one thousand, forty".