4132001920 has 32 divisors (see below), whose sum is σ = 9878068620. Its totient is φ = 1652800512.

The previous prime is 4132001917. The next prime is 4132001933. The reversal of 4132001920 is 291002314.

It can be written as a sum of positive squares in 2 ways, for example, as 4043942464 + 88059456 = 63592^2 + 9384^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 4132001891 and 4132001900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3227487 + ... + 3228766.

Almost surely, 2^4132001920 is an apocalyptic number.

4132001920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4132001920 is an abundant number, since it is smaller than the sum of its proper divisors (5746066700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4132001920 is an equidigital number, since it uses as much as digits as its factorization.

4132001920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6456272 (or 6456260 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 4132001920 is about 64280.6496544644. The cubic root of 4132001920 is about 1604.6740823004.

The spelling of 4132001920 in words is "four billion, one hundred thirty-two million, one thousand, nine hundred twenty".