40221221664 has 192 divisors, whose sum is σ = 121408809984. Its totient is φ = 11562034176.

The previous prime is 40221221531. The next prime is 40221221681. The reversal of 40221221664 is 46612212204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1217979 + ... + 1250565.

It is an arithmetic number, because the mean of its divisors is an integer number (632337552).

Almost surely, 2^40221221664 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 40221221664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60704404992).

40221221664 is an abundant number, since it is smaller than the sum of its proper divisors (81187588320).

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

40221221664 is a wasteful number, since it uses less digits than its factorization.

40221221664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32679 (or 32671 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 40221221664 its reverse (46612212204), we get a palindrome (86833433868).

The spelling of 40221221664 in words is "forty billion, two hundred twenty-one million, two hundred twenty-one thousand, six hundred sixty-four".