32212919040 has 288 divisors, whose sum is σ = 105578617536. Its totient is φ = 8367636480.

The previous prime is 32212919033. The next prime is 32212919107. The reversal of 32212919040 is 4091921223.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 32212918992 and 32212919010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26468512 + ... + 26469728.

It is an arithmetic number, because the mean of its divisors is an integer number (366592422).

Almost surely, 2^32212919040 is an apocalyptic number.

32212919040 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 32212919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52789308768).

32212919040 is an abundant number, since it is smaller than the sum of its proper divisors (73365698496).

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

32212919040 is a wasteful number, since it uses less digits than its factorization.

32212919040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 32212919040 in words is "thirty-two billion, two hundred twelve million, nine hundred nineteen thousand, forty".