4100443440 has 80 divisors (see below), whose sum is σ = 12740398848. Its totient is φ = 1090955008.

The previous prime is 4100443397. The next prime is 4100443471. The reversal of 4100443440 is 443440014.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4100443440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87037 + ... + 125603.

Almost surely, 2^4100443440 is an apocalyptic number.

4100443440 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 4100443440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6370199424).

4100443440 is an abundant number, since it is smaller than the sum of its proper divisors (8639955408).

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

4100443440 is a wasteful number, since it uses less digits than its factorization.

4100443440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39026 (or 39020 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4100443440 is about 64034.7049653545. The cubic root of 4100443440 is about 1600.5783638260.

Adding to 4100443440 its reverse (443440014), we get a palindrome (4543883454).

The spelling of 4100443440 in words is "four billion, one hundred million, four hundred forty-three thousand, four hundred forty".