32029641121792 has 112 divisors (see below), whose sum is σ = 68640508847232. Its totient is φ = 14891167252480.

The previous prime is 32029641121789. The next prime is 32029641121801. The reversal of 32029641121792 is 29712114692023.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10173417 + ... + 12944407.

It is an arithmetic number, because the mean of its divisors is an integer number (612861686136).

Almost surely, 2^{32029641121792} is an apocalyptic number.

32029641121792 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 32029641121792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34320254423616).

32029641121792 is an abundant number, since it is smaller than the sum of its proper divisors (36610867725440).

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

32029641121792 is an equidigital number, since it uses as much as digits as its factorization.

32029641121792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771117 (or 2771093 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

The spelling of 32029641121792 in words is "thirty-two trillion, twenty-nine billion, six hundred forty-one million, one hundred twenty-one thousand, seven hundred ninety-two".