4120863201 has 192 divisors, whose sum is σ = 8089804800. Its totient is φ = 2052086400.

The previous prime is 4120863193. The next prime is 4120863281. The reversal of 4120863201 is 1023680214.

4120863201 is a `hidden beast` number, since 4 + 1 + 20 + 8 + 632 + 0 + 1 = 666.

It is not a de Polignac number, because 4120863201 - 2³ = 4120863193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4120863281) 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 in 191 ways as a sum of consecutive naturals, for example, 31456906 + ... + 31457036.

It is an arithmetic number, because the mean of its divisors is an integer number (42134400).

Almost surely, 2^4120863201 is an apocalyptic number.

It is an amenable number.

4120863201 is a deficient number, since it is larger than the sum of its proper divisors (3968941599).

4120863201 is a wasteful number, since it uses less digits than its factorization.

4120863201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4120863201 is about 64193.9498784738. The cubic root of 4120863201 is about 1603.2308675067.

The spelling of 4120863201 in words is "four billion, one hundred twenty million, eight hundred sixty-three thousand, two hundred one".