32133042420024 has 256 divisors, whose sum is σ = 100273130496000. Its totient is φ = 8354568241152.

The previous prime is 32133042420019. The next prime is 32133042420071. The reversal of 32133042420024 is 42002424033123.

It is a junction number, because it is equal to n+sod(n) for n = 32133042419973 and 32133042420000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 341615752 + ... + 341709800.

It is an arithmetic number, because the mean of its divisors is an integer number (391691916000).

Almost surely, 2^{32133042420024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32133042420024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50136565248000).

32133042420024 is an abundant number, since it is smaller than the sum of its proper divisors (68140088075976).

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

32133042420024 is a wasteful number, since it uses less digits than its factorization.

32133042420024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96294 (or 96290 counting only the distinct ones).

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

Adding to 32133042420024 its reverse (42002424033123), we get a palindrome (74135466453147).

The spelling of 32133042420024 in words is "thirty-two trillion, one hundred thirty-three billion, forty-two million, four hundred twenty thousand, twenty-four".