4000300022401 has 2 divisors, whose sum is σ = 4000300022402. Its totient is φ = 4000300022400.

The previous prime is 4000300022363. The next prime is 4000300022419. The reversal of 4000300022401 is 1042200030004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2175507001600 + 1824793020801 = 1474960^2 + 1350849^2 .

It is a cyclic number.

It is not a de Polignac number, because 4000300022401 - 2²¹ = 4000297925249 is a prime.

It is a super-2 number, since 2×4000300022401² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4000300022801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2000150011200 + 2000150011201.

It is an arithmetic number, because the mean of its divisors is an integer number (2000150011201).

Almost surely, 2^{4000300022401} is an apocalyptic number.

It is an amenable number.

4000300022401 is a deficient number, since it is larger than the sum of its proper divisors (1).

4000300022401 is an equidigital number, since it uses as much as digits as its factorization.

4000300022401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 4000300022401 its reverse (1042200030004), we get a palindrome (5042500052405).

The spelling of 4000300022401 in words is "four trillion, three hundred million, twenty-two thousand, four hundred one".