34124201320441 has 2 divisors, whose sum is σ = 34124201320442. Its totient is φ = 34124201320440.

The previous prime is 34124201320411. The next prime is 34124201320463. The reversal of 34124201320441 is 14402310242143.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33150878982400 + 973322338041 = 5757680^2 + 986571^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34124201320441 is a prime.

It is a super-2 number, since 2×34124201320441² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34124201320411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17062100660220 + 17062100660221.

It is an arithmetic number, because the mean of its divisors is an integer number (17062100660221).

Almost surely, 2^{34124201320441} is an apocalyptic number.

It is an amenable number.

34124201320441 is a deficient number, since it is larger than the sum of its proper divisors (1).

34124201320441 is an equidigital number, since it uses as much as digits as its factorization.

34124201320441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 34124201320441 its reverse (14402310242143), we get a palindrome (48526511562584).

The spelling of 34124201320441 in words is "thirty-four trillion, one hundred twenty-four billion, two hundred one million, three hundred twenty thousand, four hundred forty-one".