4400100443440 has 80 divisors (see below), whose sum is σ = 11039254380000. Its totient is φ = 1621396463616.

The previous prime is 4400100443423. The next prime is 4400100443447. The reversal of 4400100443440 is 443440010044.

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

It is a junction number, because it is equal to n+sod(n) for n = 4400100443399 and 4400100443408.

It is not an unprimeable number, because it can be changed into a prime (4400100443447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3720385 + ... + 4758304.

It is an arithmetic number, because the mean of its divisors is an integer number (137990679750).

Almost surely, 2^{4400100443440} is an apocalyptic number.

4400100443440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4400100443440 is an abundant number, since it is smaller than the sum of its proper divisors (6639153936560).

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

4400100443440 is a wasteful number, since it uses less digits than its factorization.

4400100443440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8479214 (or 8479208 counting only the distinct ones).

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

Adding to 4400100443440 its reverse (443440010044), we get a palindrome (4843540453484).

The spelling of 4400100443440 in words is "four trillion, four hundred billion, one hundred million, four hundred forty-three thousand, four hundred forty".