6401322221 has 32 divisors (see below), whose sum is σ = 7773600000. Its totient is φ = 5262618816.

The previous prime is 6401322209. The next prime is 6401322229. The reversal of 6401322221 is 1222231046.

It is a happy number.

It is not a de Polignac number, because 6401322221 - 2¹⁴ = 6401305837 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6401322229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1559630 + ... + 1563728.

It is an arithmetic number, because the mean of its divisors is an integer number (242925000).

Almost surely, 2^6401322221 is an apocalyptic number.

It is an amenable number.

6401322221 is a deficient number, since it is larger than the sum of its proper divisors (1372277779).

6401322221 is a wasteful number, since it uses less digits than its factorization.

6401322221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4306 (or 4292 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 6401322221 is about 80008.2634544708. The cubic root of 6401322221 is about 1856.7633831042.

Adding to 6401322221 its reverse (1222231046), we get a palindrome (7623553267).

The spelling of 6401322221 in words is "six billion, four hundred one million, three hundred twenty-two thousand, two hundred twenty-one".