41401361803321 has 27 divisors (see below), whose sum is σ = 45107463731367. Its totient is φ = 37982455642560.

The previous prime is 41401361803273. The next prime is 41401361803367. The reversal of 41401361803321 is 12330816310414.

It is a happy number.

The square root of 41401361803321 is 6434389.

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 14638742775721 + 26762619027600 = 3826061^2 + 5173260^2 .

It is not a de Polignac number, because 41401361803321 - 2²¹ = 41401359706169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41401361801321) 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, 14470939431 + ... + 14470942291.

Almost surely, 2^{41401361803321} is an apocalyptic number.

41401361803321 is the 6434389-th square number.

41401361803321 is the 3217195-th centered octagonal number.

It is an amenable number.

41401361803321 is a deficient number, since it is larger than the sum of its proper divisors (3706101928046).

41401361803321 is an frugal number, since it uses more digits than its factorization.

41401361803321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6094 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 41401361803321 in words is "forty-one trillion, four hundred one billion, three hundred sixty-one million, eight hundred three thousand, three hundred twenty-one".