32114141000 has 128 divisors (see below), whose sum is σ = 78727334400. Its totient is φ = 12238124800.

The previous prime is 32114140999. The next prime is 32114141039. The reversal of 32114141000 is 14141123.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 32114141000.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6046346 + ... + 6051654.

It is an arithmetic number, because the mean of its divisors is an integer number (615057300).

Almost surely, 2^32114141000 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 32114141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39363667200).

32114141000 is an abundant number, since it is smaller than the sum of its proper divisors (46613193400).

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

32114141000 is a wasteful number, since it uses less digits than its factorization.

32114141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5616 (or 5602 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 32114141000 its reverse (14141123), we get a palindrome (32128282123).

The spelling of 32114141000 in words is "thirty-two billion, one hundred fourteen million, one hundred forty-one thousand".