41270328801 has 27 divisors (see below), whose sum is σ = 64563421689. Its totient is φ = 25392249792.

The previous prime is 41270328769. The next prime is 41270328821. The reversal of 41270328801 is 10882307214.

The square root of 41270328801 is 203151.

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 2648646225 + 38621682576 = 51465^2 + 196524^2 .

It is not a de Polignac number, because 41270328801 - 2⁵ = 41270328769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41270328821) 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, 7920285 + ... + 7925493.

Almost surely, 2^41270328801 is an apocalyptic number.

41270328801 is the 203151-st square number.

41270328801 is the 101576-th centered octagonal number.

It is an amenable number.

41270328801 is a deficient number, since it is larger than the sum of its proper divisors (23293092888).

41270328801 is an frugal number, since it uses more digits than its factorization.

41270328801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10450 (or 5225 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Multiplying 41270328801 by its sum of digits (36), we get a square (1485731836836 = 1218906²).

The spelling of 41270328801 in words is "forty-one billion, two hundred seventy million, three hundred twenty-eight thousand, eight hundred one".