4020424000 has 56 divisors (see below), whose sum is σ = 9956599848. Its totient is φ = 1608166400.

The previous prime is 4020423991. The next prime is 4020424003. The reversal of 4020424000 is 4240204.

4020424000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 45373696 + 3975050304 = 6736^2 + 63048^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4020424003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243277 + ... + 259276.

Almost surely, 2^4020424000 is an apocalyptic number.

4020424000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4020424000 is an abundant number, since it is smaller than the sum of its proper divisors (5936175848).

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

4020424000 is an equidigital number, since it uses as much as digits as its factorization.

4020424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502580 (or 502560 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4020424000 is about 63406.8135140065. The cubic root of 4020424000 is about 1590.0982231688.

Adding to 4020424000 its reverse (4240204), we get a palindrome (4024664204).

The spelling of 4020424000 in words is "four billion, twenty million, four hundred twenty-four thousand".