32001444240 has 160 divisors (see below), whose sum is σ = 102542544000. Its totient is φ = 8251330560.

The previous prime is 32001444217. The next prime is 32001444247. The reversal of 32001444240 is 4244410023.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 32001444240.

It is not an unprimeable number, because it can be changed into a prime (32001444247) by changing a digit.

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, 845236 + ... + 882284.

It is an arithmetic number, because the mean of its divisors is an integer number (640890900).

Almost surely, 2^32001444240 is an apocalyptic number.

32001444240 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 32001444240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51271272000).

32001444240 is an abundant number, since it is smaller than the sum of its proper divisors (70541099760).

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

32001444240 is a wasteful number, since it uses less digits than its factorization.

32001444240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37185 (or 37179 counting only the distinct ones).

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

Adding to 32001444240 its reverse (4244410023), we get a palindrome (36245854263).

The spelling of 32001444240 in words is "thirty-two billion, one million, four hundred forty-four thousand, two hundred forty".