4021444440 has 384 divisors, whose sum is σ = 14545440000. Its totient is φ = 957505536.

The previous prime is 4021444439. The next prime is 4021444457. The reversal of 4021444440 is 444441204.

4021444440 is a `hidden beast` number, since 4 + 0 + 214 + 4 + 4 + 440 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26989486 + ... + 26989634.

It is an arithmetic number, because the mean of its divisors is an integer number (37878750).

Almost surely, 2^4021444440 is an apocalyptic number.

4021444440 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 4021444440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7272720000).

4021444440 is an abundant number, since it is smaller than the sum of its proper divisors (10523995560).

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

4021444440 is a wasteful number, since it uses less digits than its factorization.

4021444440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 4021444440 is about 63414.8597727693. The cubic root of 4021444440 is about 1590.2327415323.

Adding to 4021444440 its reverse (444441204), we get a palindrome (4465885644).

The spelling of 4021444440 in words is "four billion, twenty-one million, four hundred forty-four thousand, four hundred forty".