4404242422400 has 96 divisors (see below), whose sum is σ = 10886514273180. Its totient is φ = 1760618700800.

The previous prime is 4404242422361. The next prime is 4404242422457. The reversal of 4404242422400 is 42242424044.

It can be written as a sum of positive squares in 6 ways, for example, as 468589535296 + 3935652887104 = 684536^2 + 1983848^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4818020 + ... + 5658780.

Almost surely, 2^{4404242422400} is an apocalyptic number.

4404242422400 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 4404242422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443257136590).

4404242422400 is an abundant number, since it is smaller than the sum of its proper divisors (6482271850780).

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

4404242422400 is a wasteful number, since it uses less digits than its factorization.

4404242422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842422 (or 842405 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 4404242422400 its reverse (42242424044), we get a palindrome (4446484846444).

The spelling of 4404242422400 in words is "four trillion, four hundred four billion, two hundred forty-two million, four hundred twenty-two thousand, four hundred".