4442040040 has 64 divisors (see below), whose sum is σ = 10277442000. Its totient is φ = 1726863360.

The previous prime is 4442040037. The next prime is 4442040061. The reversal of 4442040040 is 400402444.

It can be written as a sum of positive squares in 8 ways, for example, as 7279204 + 4434760836 = 2698^2 + 66594^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4442039993 and 4442040020.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 436126 + ... + 446194.

Almost surely, 2^4442040040 is an apocalyptic number.

4442040040 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 4442040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5138721000).

4442040040 is an abundant number, since it is smaller than the sum of its proper divisors (5835401960).

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

4442040040 is a wasteful number, since it uses less digits than its factorization.

4442040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10390 (or 10386 counting only the distinct ones).

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

The square root of 4442040040 is about 66648.6311937462. The cubic root of 4442040040 is about 1643.8448408414.

Adding to 4442040040 its reverse (400402444), we get a palindrome (4842442484).

The spelling of 4442040040 in words is "four billion, four hundred forty-two million, forty thousand, forty".