41335525591441 has 81 divisors (see below), whose sum is σ = 45087670107571. Its totient is φ = 37893403195648.

The previous prime is 41335525591411. The next prime is 41335525591457. The reversal of 41335525591441 is 14419552553314.

The square root of 41335525591441 is 6429271.

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

It can be written as a sum of positive squares in 13 ways, for example, as 23904032180625 + 17431493410816 = 4889175^2 + 4175104^2 .

It is a de Polignac number, because none of the positive numbers 2^k-41335525591441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41335525591411) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 464444107725 + ... + 464444107813.

Almost surely, 2^{41335525591441} is an apocalyptic number.

41335525591441 is the 6429271-st square number.

41335525591441 is the 3214636-th centered octagonal number.

It is an amenable number.

41335525591441 is a deficient number, since it is larger than the sum of its proper divisors (3752144516130).

41335525591441 is an frugal number, since it uses more digits than its factorization.

41335525591441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 218 counting only the distinct ones).

The product of its digits is 6480000, while the sum is 52.

The spelling of 41335525591441 in words is "forty-one trillion, three hundred thirty-five billion, five hundred twenty-five million, five hundred ninety-one thousand, four hundred forty-one".