416352542401 has 2 divisors, whose sum is σ = 416352542402. Its totient is φ = 416352542400.

The previous prime is 416352542399. The next prime is 416352542407. The reversal of 416352542401 is 104245253614.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 256971941776 + 159380600625 = 506924^2 + 399225^2 .

It is a cyclic number.

It is not a de Polignac number, because 416352542401 - 2¹ = 416352542399 is a prime.

Together with 416352542399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (416352542407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208176271200 + 208176271201.

It is an arithmetic number, because the mean of its divisors is an integer number (208176271201).

Almost surely, 2^416352542401 is an apocalyptic number.

It is an amenable number.

416352542401 is a deficient number, since it is larger than the sum of its proper divisors (1).

416352542401 is an equidigital number, since it uses as much as digits as its factorization.

416352542401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 115200, while the sum is 37.

The spelling of 416352542401 in words is "four hundred sixteen billion, three hundred fifty-two million, five hundred forty-two thousand, four hundred one".