41131084864 has 63 divisors (see below), whose sum is σ = 82765348693. Its totient is φ = 20280800000.

The previous prime is 41131084861. The next prime is 41131084871. The reversal of 41131084864 is 46848013114.

The square root of 41131084864 is 202808.

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., 39518259264 + 1612825600 = 198792^2 + 40160^2 .

It is a super-2 number, since 2×41131084864² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41131084861) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 163868739 + ... + 163868989.

Almost surely, 2^41131084864 is an apocalyptic number.

41131084864 is the 202808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41131084864

41131084864 is an abundant number, since it is smaller than the sum of its proper divisors (41634263829).

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

41131084864 is an frugal number, since it uses more digits than its factorization.

41131084864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

Adding to 41131084864 its reverse (46848013114), we get a palindrome (87979097978).

The spelling of 41131084864 in words is "forty-one billion, one hundred thirty-one million, eighty-four thousand, eight hundred sixty-four".