44404264406401 has 2 divisors, whose sum is σ = 44404264406402. Its totient is φ = 44404264406400.

The previous prime is 44404264406387. The next prime is 44404264406419. The reversal of 44404264406401 is 10460446240444.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31748998890625 + 12655265515776 = 5634625^2 + 3557424^2 .

It is a cyclic number.

It is not a de Polignac number, because 44404264406401 - 2¹⁵ = 44404264373633 is a prime.

It is not a weakly prime, because it can be changed into another prime (44404264406701) 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, 22202132203200 + 22202132203201.

It is an arithmetic number, because the mean of its divisors is an integer number (22202132203201).

Almost surely, 2^{44404264406401} is an apocalyptic number.

It is an amenable number.

44404264406401 is a deficient number, since it is larger than the sum of its proper divisors (1).

44404264406401 is an equidigital number, since it uses as much as digits as its factorization.

44404264406401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1179648, while the sum is 43.

The spelling of 44404264406401 in words is "forty-four trillion, four hundred four billion, two hundred sixty-four million, four hundred six thousand, four hundred one".