4221601084625 has 16 divisors (see below), whose sum is σ = 5268798634320. Its totient is φ = 3377126713600.

The previous prime is 4221601084601. The next prime is 4221601084643. The reversal of 4221601084625 is 5264801061224.

It can be written as a sum of positive squares in 8 ways, for example, as 2883190416016 + 1338410668609 = 1697996^2 + 1156897^2 .

It is not a de Polignac number, because 4221601084625 - 2⁸ = 4221601084369 is a prime.

It is a super-2 number, since 2×4221601084625² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2018969 + ... + 3538281.

It is an arithmetic number, because the mean of its divisors is an integer number (329299914645).

Almost surely, 2^{4221601084625} is an apocalyptic number.

It is an amenable number.

4221601084625 is a deficient number, since it is larger than the sum of its proper divisors (1047197549695).

4221601084625 is a wasteful number, since it uses less digits than its factorization.

4221601084625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541557 (or 1541547 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The spelling of 4221601084625 in words is "four trillion, two hundred twenty-one billion, six hundred one million, eighty-four thousand, six hundred twenty-five".