40040004420001 has 2 divisors, whose sum is σ = 40040004420002. Its totient is φ = 40040004420000.

The previous prime is 40040004419969. The next prime is 40040004420007. The reversal of 40040004420001 is 10002440004004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21990931923601 + 18049072496400 = 4689449^2 + 4248420^2 .

It is a cyclic number.

It is not a de Polignac number, because 40040004420001 - 2⁵ = 40040004419969 is a prime.

It is not a weakly prime, because it can be changed into another prime (40040004420007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20020002210000 + 20020002210001.

It is an arithmetic number, because the mean of its divisors is an integer number (20020002210001).

Almost surely, 2^{40040004420001} is an apocalyptic number.

It is an amenable number.

40040004420001 is a deficient number, since it is larger than the sum of its proper divisors (1).

40040004420001 is an equidigital number, since it uses as much as digits as its factorization.

40040004420001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 40040004420001 its reverse (10002440004004), we get a palindrome (50042444424005).

The spelling of 40040004420001 in words is "forty trillion, forty billion, four million, four hundred twenty thousand, one".