4401879282401 has 2 divisors, whose sum is σ = 4401879282402. Its totient is φ = 4401879282400.

The previous prime is 4401879282347. The next prime is 4401879282413. The reversal of 4401879282401 is 1042829781044.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3944199972001 + 457679310400 = 1986001^2 + 676520^2 .

It is a cyclic number.

It is not a de Polignac number, because 4401879282401 - 2⁴² = 3832771297 is a prime.

It is a super-3 number, since 3×4401879282401³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 4401879282401.

It is not a weakly prime, because it can be changed into another prime (4401879282431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2200939641200 + 2200939641201.

It is an arithmetic number, because the mean of its divisors is an integer number (2200939641201).

Almost surely, 2^{4401879282401} is an apocalyptic number.

It is an amenable number.

4401879282401 is a deficient number, since it is larger than the sum of its proper divisors (1).

4401879282401 is an equidigital number, since it uses as much as digits as its factorization.

4401879282401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1032192, while the sum is 50.

The spelling of 4401879282401 in words is "four trillion, four hundred one billion, eight hundred seventy-nine million, two hundred eighty-two thousand, four hundred one".