41334142864 has 135 divisors (see below), whose sum is σ = 95649019347. Its totient is φ = 17253530112.

The previous prime is 41334142849. The next prime is 41334142867. The reversal of 41334142864 is 46824143314.

It is a happy number.

The square root of 41334142864 is 203308.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4007902864 + 37326240000 = 63308^2 + 193200^2 .

It is a super-2 number, since 2×41334142864² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41334142867) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 301709004 + ... + 301709140.

Almost surely, 2^41334142864 is an apocalyptic number.

41334142864 is the 203308-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41334142864

41334142864 is an abundant number, since it is smaller than the sum of its proper divisors (54314876483).

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

41334142864 is an equidigital number, since it uses as much as digits as its factorization.

41334142864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 199 counting only the distinct ones).

The product of its digits is 221184, while the sum is 40.

The spelling of 41334142864 in words is "forty-one billion, three hundred thirty-four million, one hundred forty-two thousand, eight hundred sixty-four".