4020840000 has 700 divisors, whose sum is σ = 15986167164. Its totient is φ = 995328000.

The previous prime is 4020839993. The next prime is 4020840007. The reversal of 4020840000 is 480204.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4020839993) and next prime (4020840007).

It can be written as a sum of positive squares in 10 ways, for example, as 2418278976 + 1602561024 = 49176^2 + 40032^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4020840007) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 55079964 + ... + 55080036.

Almost surely, 2^4020840000 is an apocalyptic number.

4020840000 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 4020840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7993083582).

4020840000 is an abundant number, since it is smaller than the sum of its proper divisors (11965327164).

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

4020840000 is an equidigital number, since it uses as much as digits as its factorization.

4020840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4020840000 is about 63410.0938337107. The cubic root of 4020840000 is about 1590.1530646521.

It can be divided in two parts, 40208 and 40000, that added together give a palindrome (80208).

The spelling of 4020840000 in words is "four billion, twenty million, eight hundred forty thousand".