32026443930432 has 1680 divisors, whose sum is σ = 122647316767360. Its totient is φ = 8069896470528.

The previous prime is 32026443930421. The next prime is 32026443930433. The reversal of 32026443930432 is 23403934462023.

32026443930432 is a `hidden beast` number, since 3 + 20 + 264 + 4 + 39 + 304 + 32 = 666.

It is a super-2 number, since 2×32026443930432² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32026443930433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 19327967748 + ... + 19327969404.

Almost surely, 2^{32026443930432} is an apocalyptic number.

32026443930432 is a gapful number since it is divisible by the number (32) 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 32026443930432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61323658383680).

32026443930432 is an abundant number, since it is smaller than the sum of its proper divisors (90620872836928).

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

32026443930432 is a wasteful number, since it uses less digits than its factorization.

32026443930432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 45.

The spelling of 32026443930432 in words is "thirty-two trillion, twenty-six billion, four hundred forty-three million, nine hundred thirty thousand, four hundred thirty-two".