41424412200401 has 2 divisors, whose sum is σ = 41424412200402. Its totient is φ = 41424412200400.

The previous prime is 41424412200341. The next prime is 41424412200407. The reversal of 41424412200401 is 10400221442414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40956467276176 + 467944924225 = 6399724^2 + 684065^2 .

It is a cyclic number.

It is not a de Polignac number, because 41424412200401 - 2²² = 41424408006097 is a prime.

It is a super-2 number, since 2×41424412200401² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (41424412200407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20712206100200 + 20712206100201.

It is an arithmetic number, because the mean of its divisors is an integer number (20712206100201).

Almost surely, 2^{41424412200401} is an apocalyptic number.

It is an amenable number.

41424412200401 is a deficient number, since it is larger than the sum of its proper divisors (1).

41424412200401 is an equidigital number, since it uses as much as digits as its factorization.

41424412200401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 41424412200401 its reverse (10400221442414), we get a palindrome (51824633642815).

The spelling of 41424412200401 in words is "forty-one trillion, four hundred twenty-four billion, four hundred twelve million, two hundred thousand, four hundred one".