4032420800 has 42 divisors (see below), whose sum is σ = 9922279368. Its totient is φ = 1612967680.

The previous prime is 4032420773. The next prime is 4032420817. The reversal of 4032420800 is 80242304.

4032420800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1258532 + ... + 1261731.

Almost surely, 2^4032420800 is an apocalyptic number.

4032420800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4032420800 is an abundant number, since it is smaller than the sum of its proper divisors (5889858568).

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

4032420800 is a wasteful number, since it uses less digits than its factorization.

4032420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520285 (or 2520270 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 4032420800 is about 63501.3448676483. The cubic root of 4032420800 is about 1591.6782511819.

The spelling of 4032420800 in words is "four billion, thirty-two million, four hundred twenty thousand, eight hundred".