32221981440 has 720 divisors, whose sum is σ = 132486520320. Its totient is φ = 7395287040.

The previous prime is 32221981439. The next prime is 32221981453. The reversal of 32221981440 is 4418912223.

32221981440 is a `hidden beast` number, since 3 + 2 + 22 + 198 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 32221981395 and 32221981404.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21668377 + ... + 21669863.

It is an arithmetic number, because the mean of its divisors is an integer number (184009056).

Almost surely, 2^32221981440 is an apocalyptic number.

32221981440 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 32221981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66243260160).

32221981440 is an abundant number, since it is smaller than the sum of its proper divisors (100264538880).

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

32221981440 is a wasteful number, since it uses less digits than its factorization.

32221981440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 32221981440 in words is "thirty-two billion, two hundred twenty-one million, nine hundred eighty-one thousand, four hundred forty".