4401033440440 has 128 divisors (see below), whose sum is σ = 12195996543360. Its totient is φ = 1391880904704.

The previous prime is 4401033440431. The next prime is 4401033440467. The reversal of 4401033440440 is 440443301044.

It is a super-2 number, since 2×4401033440440² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4794252 + ... + 5637988.

It is an arithmetic number, because the mean of its divisors is an integer number (95281222995).

Almost surely, 2^{4401033440440} is an apocalyptic number.

4401033440440 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 4401033440440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6097998271680).

4401033440440 is an abundant number, since it is smaller than the sum of its proper divisors (7794963102920).

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

4401033440440 is a wasteful number, since it uses less digits than its factorization.

4401033440440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845201 (or 845197 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 4401033440440 its reverse (440443301044), we get a palindrome (4841476741484).

The spelling of 4401033440440 in words is "four trillion, four hundred one billion, thirty-three million, four hundred forty thousand, four hundred forty".