41735221264 has 45 divisors (see below), whose sum is σ = 88900509439. Its totient is φ = 18966469280.

The previous prime is 41735221259. The next prime is 41735221301. The reversal of 41735221264 is 46212253714.

The square root of 41735221264 is 204292.

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

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 8986527 + ... + 8991169.

Almost surely, 2^41735221264 is an apocalyptic number.

41735221264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

41735221264 is the 204292-nd square number.

It is an amenable number.

41735221264 is an abundant number, since it is smaller than the sum of its proper divisors (47165288175).

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

41735221264 is an frugal number, since it uses more digits than its factorization.

41735221264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9316 (or 4656 counting only the distinct ones).

The product of its digits is 80640, while the sum is 37.

Adding to 41735221264 its reverse (46212253714), we get a palindrome (87947474978).

The spelling of 41735221264 in words is "forty-one billion, seven hundred thirty-five million, two hundred twenty-one thousand, two hundred sixty-four".