4244001104040 has 256 divisors, whose sum is σ = 13556939673600. Its totient is φ = 1059826166784.

The previous prime is 4244001103981. The next prime is 4244001104069. The reversal of 4244001104040 is 404011004424.

It is a happy number.

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 4244001104040.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112934694 + ... + 112972266.

It is an arithmetic number, because the mean of its divisors is an integer number (52956795600).

Almost surely, 2^{4244001104040} is an apocalyptic number.

4244001104040 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 4244001104040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6778469836800).

4244001104040 is an abundant number, since it is smaller than the sum of its proper divisors (9312938569560).

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

4244001104040 is a wasteful number, since it uses less digits than its factorization.

4244001104040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38176 (or 38172 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 4244001104040 its reverse (404011004424), we get a palindrome (4648012108464).

The spelling of 4244001104040 in words is "four trillion, two hundred forty-four billion, one million, one hundred four thousand, forty".