4040304444 has 72 divisors (see below), whose sum is σ = 11203199280. Its totient is φ = 1217548800.

The previous prime is 4040304403. The next prime is 4040304523. The reversal of 4040304444 is 4444030404.

4040304444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4040304444² = 32648120000412298272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43492 + ... + 99860.

It is an arithmetic number, because the mean of its divisors is an integer number (155599990).

Almost surely, 2^4040304444 is an apocalyptic number.

4040304444 is a gapful number since it is divisible by the number (44) 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 4040304444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601599640).

4040304444 is an abundant number, since it is smaller than the sum of its proper divisors (7162894836).

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

4040304444 is a wasteful number, since it uses less digits than its factorization.

4040304444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56571 (or 56566 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 4040304444 is about 63563.3891796213. The cubic root of 4040304444 is about 1592.7148539785.

Adding to 4040304444 its reverse (4444030404), we get a palindrome (8484334848).

The spelling of 4040304444 in words is "four billion, forty million, three hundred four thousand, four hundred forty-four".