32112342240 has 384 divisors, whose sum is σ = 112987768320. Its totient is φ = 7600742400.

The previous prime is 32112342221. The next prime is 32112342247. The reversal of 32112342240 is 4224321123.

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 32112342240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32112342247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57652042 + ... + 57652598.

It is an arithmetic number, because the mean of its divisors is an integer number (294238980).

Almost surely, 2^32112342240 is an apocalyptic number.

32112342240 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 32112342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56493884160).

32112342240 is an abundant number, since it is smaller than the sum of its proper divisors (80875426080).

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

32112342240 is a wasteful number, since it uses less digits than its factorization.

32112342240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 32112342240 its reverse (4224321123), we get a palindrome (36336663363).

It can be divided in two parts, 321123 and 42240, that added together give a palindrome (363363).

The spelling of 32112342240 in words is "thirty-two billion, one hundred twelve million, three hundred forty-two thousand, two hundred forty".