41221993024 has 63 divisors (see below), whose sum is σ = 83979342201. Its totient is φ = 20075804160.

The previous prime is 41221993019. The next prime is 41221993027. The reversal of 41221993024 is 42039912214.

The square root of 41221993024 is 203032.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1986306624 + 39235686400 = 44568^2 + 198080^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41221993027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 66594187 + ... + 66594805.

Almost surely, 2^41221993024 is an apocalyptic number.

41221993024 is the 203032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41221993024

41221993024 is an abundant number, since it is smaller than the sum of its proper divisors (42757349177).

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

41221993024 is an frugal number, since it uses more digits than its factorization.

41221993024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 41221993024 in words is "forty-one billion, two hundred twenty-one million, nine hundred ninety-three thousand, twenty-four".