32001133324440 has 384 divisors, whose sum is σ = 118262949488640. Its totient is φ = 6883330535424.

The previous prime is 32001133324427. The next prime is 32001133324451. The reversal of 32001133324440 is 4442333110023.

It is a happy number.

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 = 32001133324398 and 32001133324407.

It is a congruent number.

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, 918315097 + ... + 918349943.

It is an arithmetic number, because the mean of its divisors is an integer number (307976430960).

Almost surely, 2^{32001133324440} is an apocalyptic number.

32001133324440 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 32001133324440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59131474744320).

32001133324440 is an abundant number, since it is smaller than the sum of its proper divisors (86261816164200).

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

32001133324440 is a wasteful number, since it uses less digits than its factorization.

32001133324440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44079 (or 44068 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 32001133324440 its reverse (4442333110023), we get a palindrome (36443466434463).

The spelling of 32001133324440 in words is "thirty-two trillion, one billion, one hundred thirty-three million, three hundred twenty-four thousand, four hundred forty".