4189639953321 has 45 divisors (see below), whose sum is σ = 6284933714829. Its totient is φ = 2781389351016.

The previous prime is 4189639953283. The next prime is 4189639953329. The reversal of 4189639953321 is 1233599369814.

The square root of 4189639953321 is 2046861.

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

4189639953321 is a `hidden beast` number, since 4 + 1 + 8 + 9 + 6 + 3 + 99 + 533 + 2 + 1 = 666.

4189639953321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4189639953321 - 2¹⁹ = 4189639429033 is a prime.

Its product of digits (37791360) is a multiple of the sum of its prime factors (1920).

It is not an unprimeable number, because it can be changed into a prime (4189639953329) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8602956540 + ... + 8602957026.

Almost surely, 2^{4189639953321} is an apocalyptic number.

4189639953321 is the 2046861-st square number.

4189639953321 is the 1023431-st centered octagonal number.

It is an amenable number.

4189639953321 is a deficient number, since it is larger than the sum of its proper divisors (2095293761508).

4189639953321 is an frugal number, since it uses more digits than its factorization.

4189639953321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 957 counting only the distinct ones).

The product of its digits is 37791360, while the sum is 63.

The spelling of 4189639953321 in words is "four trillion, one hundred eighty-nine billion, six hundred thirty-nine million, nine hundred fifty-three thousand, three hundred twenty-one".