3221701140480 has 448 divisors, whose sum is σ = 10870217487360. Its totient is φ = 812491997184.

The previous prime is 3221701140479. The next prime is 3221701140521. The reversal of 3221701140480 is 840411071223.

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, 2257673527 + ... + 2257674953.

It is an arithmetic number, because the mean of its divisors is an integer number (24263878320).

Almost surely, 2^{3221701140480} is an apocalyptic number.

3221701140480 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 3221701140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5435108743680).

3221701140480 is an abundant number, since it is smaller than the sum of its proper divisors (7648516346880).

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

3221701140480 is a wasteful number, since it uses less digits than its factorization.

3221701140480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 3221701140480 in words is "three trillion, two hundred twenty-one billion, seven hundred one million, one hundred forty thousand, four hundred eighty".