32224032101040 has 480 divisors, whose sum is σ = 110314793312064. Its totient is φ = 7775059968000.

The previous prime is 32224032101021. The next prime is 32224032101081. The reversal of 32224032101040 is 4010123042223.

It is a happy number.

32224032101040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 32224032101040.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2478574540 + ... + 2478587540.

Almost surely, 2^{32224032101040} is an apocalyptic number.

32224032101040 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 32224032101040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55157396656032).

32224032101040 is an abundant number, since it is smaller than the sum of its proper divisors (78090761211024).

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

32224032101040 is a wasteful number, since it uses less digits than its factorization.

32224032101040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14249 (or 14230 counting only the distinct ones).

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

Adding to 32224032101040 its reverse (4010123042223), we get a palindrome (36234155143263).

The spelling of 32224032101040 in words is "thirty-two trillion, two hundred twenty-four billion, thirty-two million, one hundred one thousand, forty".