4541627724001 has 2 divisors, whose sum is σ = 4541627724002. Its totient is φ = 4541627724000.

The previous prime is 4541627723959. The next prime is 4541627724013. The reversal of 4541627724001 is 1004277261454.

4541627724001 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2659378177600 + 1882249546401 = 1630760^2 + 1371951^2 .

It is a cyclic number.

It is not a de Polignac number, because 4541627724001 - 2¹³ = 4541627715809 is a prime.

It is not a weakly prime, because it can be changed into another prime (4541627724041) 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, 2270813862000 + 2270813862001.

It is an arithmetic number, because the mean of its divisors is an integer number (2270813862001).

Almost surely, 2^{4541627724001} is an apocalyptic number.

It is an amenable number.

4541627724001 is a deficient number, since it is larger than the sum of its proper divisors (1).

4541627724001 is an equidigital number, since it uses as much as digits as its factorization.

4541627724001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 376320, while the sum is 43.

The spelling of 4541627724001 in words is "four trillion, five hundred forty-one billion, six hundred twenty-seven million, seven hundred twenty-four thousand, one".