4444132240 has 40 divisors (see below), whose sum is σ = 10335876408. Its totient is φ = 1777090560.

The previous prime is 4444132237. The next prime is 4444132249. The reversal of 4444132240 is 422314444.

It can be written as a sum of positive squares in 4 ways, for example, as 260112384 + 4184019856 = 16128^2 + 64684^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×4444132240² = 39500622733214835200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4444132199 and 4444132208.

It is not an unprimeable number, because it can be changed into a prime (4444132249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 323920 + ... + 337360.

Almost surely, 2^4444132240 is an apocalyptic number.

4444132240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4444132240 is an abundant number, since it is smaller than the sum of its proper divisors (5891744168).

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

4444132240 is a wasteful number, since it uses less digits than its factorization.

4444132240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17587 (or 17581 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 4444132240 is about 66664.3250922111. The cubic root of 4444132240 is about 1644.1028838670.

Adding to 4444132240 its reverse (422314444), we get a palindrome (4866446684).

The spelling of 4444132240 in words is "four billion, four hundred forty-four million, one hundred thirty-two thousand, two hundred forty".