4032020000 has 90 divisors (see below), whose sum is σ = 9941515353. Its totient is φ = 1609216000.

The previous prime is 4032019967. The next prime is 4032020051. The reversal of 4032020000 is 202304.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 117765904 + 3914254096 = 10852^2 + 62564^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=44900.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8979776 + ... + 8980224.

Almost surely, 2^4032020000 is an apocalyptic number.

4032020000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4032020000

4032020000 is an abundant number, since it is smaller than the sum of its proper divisors (5909495353).

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

4032020000 is an frugal number, since it uses more digits than its factorization.

4032020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 4032020000 is about 63498.1889505520. The cubic root of 4032020000 is about 1591.6255148058.

Adding to 4032020000 its reverse (202304), we get a palindrome (4032222304).

The spelling of 4032020000 in words is "four billion, thirty-two million, twenty thousand".