4083628598401 has 9 divisors (see below), whose sum is σ = 4488640992003. Its totient is φ = 3712369426920.

The previous prime is 4083628598383. The next prime is 4083628598461. The reversal of 4083628598401 is 1048958263804.

The square root of 4083628598401 is 2020799.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3598794908401 + 484833690000 = 1897049^2 + 696300^2 .

It is not a de Polignac number, because 4083628598401 - 2⁹ = 4083628597889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4083628598461) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22136935 + ... + 22320643.

Almost surely, 2^{4083628598401} is an apocalyptic number.

4083628598401 is the 2020799-th square number.

4083628598401 is the 1010400-th centered octagonal number.

It is an amenable number.

4083628598401 is a deficient number, since it is larger than the sum of its proper divisors (405012393602).

4083628598401 is an frugal number, since it uses more digits than its factorization.

4083628598401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367440 (or 183720 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 58.

The spelling of 4083628598401 in words is "four trillion, eighty-three billion, six hundred twenty-eight million, five hundred ninety-eight thousand, four hundred one".