42775753016401 has 2 divisors, whose sum is σ = 42775753016402. Its totient is φ = 42775753016400.

The previous prime is 42775753016383. The next prime is 42775753016413. The reversal of 42775753016401 is 10461035757724.

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., 24725159553600 + 18050593462801 = 4972440^2 + 4248599^2 .

It is a cyclic number.

It is not a de Polignac number, because 42775753016401 - 2¹⁵ = 42775752983633 is a prime.

It is a super-2 number, since 2×42775753016401² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (42775753016431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21387876508200 + 21387876508201.

It is an arithmetic number, because the mean of its divisors is an integer number (21387876508201).

Almost surely, 2^{42775753016401} is an apocalyptic number.

It is an amenable number.

42775753016401 is a deficient number, since it is larger than the sum of its proper divisors (1).

42775753016401 is an equidigital number, since it uses as much as digits as its factorization.

42775753016401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4939200, while the sum is 52.

The spelling of 42775753016401 in words is "forty-two trillion, seven hundred seventy-five billion, seven hundred fifty-three million, sixteen thousand, four hundred one".