42004010401 has 2 divisors, whose sum is σ = 42004010402. Its totient is φ = 42004010400.

The previous prime is 42004010381. The next prime is 42004010407. The reversal of 42004010401 is 10401040024.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38171781376 + 3832229025 = 195376^2 + 61905^2 .

It is a cyclic number.

It is not a de Polignac number, because 42004010401 - 2¹⁵ = 42003977633 is a prime.

It is not a weakly prime, because it can be changed into another prime (42004010407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21002005200 + 21002005201.

It is an arithmetic number, because the mean of its divisors is an integer number (21002005201).

Almost surely, 2^42004010401 is an apocalyptic number.

It is an amenable number.

42004010401 is a deficient number, since it is larger than the sum of its proper divisors (1).

42004010401 is an equidigital number, since it uses as much as digits as its factorization.

42004010401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 42004010401 its reverse (10401040024), we get a palindrome (52405050425).

The spelling of 42004010401 in words is "forty-two billion, four million, ten thousand, four hundred one".