32302022226240 has 1792 divisors, whose sum is σ = 122319718133760. Its totient is φ = 7153090560000.

The previous prime is 32302022226043. The next prime is 32302022226247. The reversal of 32302022226240 is 4262222020323.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 32302022226198 and 32302022226207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32302022226247) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 65788232395 + ... + 65788232885.

It is an arithmetic number, because the mean of its divisors is an integer number (68258771280).

Almost surely, 2^{32302022226240} is an apocalyptic number.

32302022226240 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 32302022226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61159859066880).

32302022226240 is an abundant number, since it is smaller than the sum of its proper divisors (90017695907520).

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

32302022226240 is a wasteful number, since it uses less digits than its factorization.

32302022226240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 32302022226240 its reverse (4262222020323), we get a palindrome (36564244246563).

The spelling of 32302022226240 in words is "thirty-two trillion, three hundred two billion, twenty-two million, two hundred twenty-six thousand, two hundred forty".