4020404440 has 128 divisors (see below), whose sum is σ = 10015488000. Its totient is φ = 1443184128.

The previous prime is 4020404431. The next prime is 4020404441. The reversal of 4020404440 is 444040204.

It is a super-2 number, since 2×4020404440² = 32327303722343427200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4020404441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4374301 + ... + 4375219.

It is an arithmetic number, because the mean of its divisors is an integer number (78246000).

Almost surely, 2^4020404440 is an apocalyptic number.

4020404440 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 4020404440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5007744000).

4020404440 is an abundant number, since it is smaller than the sum of its proper divisors (5995083560).

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

4020404440 is a wasteful number, since it uses less digits than its factorization.

4020404440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 4020404440 is about 63406.6592717200. The cubic root of 4020404440 is about 1590.0956444713.

Adding to 4020404440 its reverse (444040204), we get a palindrome (4464444644).

The spelling of 4020404440 in words is "four billion, twenty million, four hundred four thousand, four hundred forty".