4020420400 has 90 divisors (see below), whose sum is σ = 9783537380. Its totient is φ = 1587703680.

The previous prime is 4020420379. The next prime is 4020420403. The reversal of 4020420400 is 40240204.

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

It is not an unprimeable number, because it can be changed into a prime (4020420403) 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 17 ways as a sum of consecutive naturals, for example, 2754871 + ... + 2756329.

Almost surely, 2^4020420400 is an apocalyptic number.

4020420400 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 4020420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4891768690).

4020420400 is an abundant number, since it is smaller than the sum of its proper divisors (5763116980).

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

4020420400 is a wasteful number, since it uses less digits than its factorization.

4020420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1549 counting only the distinct ones).

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

The square root of 4020420400 is about 63406.7851258838. The cubic root of 4020420400 is about 1590.0977485625.

Adding to 4020420400 its reverse (40240204), we get a palindrome (4060660604).

The spelling of 4020420400 in words is "four billion, twenty million, four hundred twenty thousand, four hundred".