4404202400320 has 28 divisors (see below), whose sum is σ = 10487506966524. Its totient is φ = 1761680960000.

The previous prime is 4404202400317. The next prime is 4404202400347. The reversal of 4404202400320 is 230042024044.

It can be written as a sum of positive squares in 2 ways, for example, as 1993834369024 + 2410368031296 = 1412032^2 + 1552536^2 .

It is a super-2 number, since 2×4404202400320² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6881565931 + ... + 6881566570.

It is an arithmetic number, because the mean of its divisors is an integer number (374553820233).

Almost surely, 2^{4404202400320} is an apocalyptic number.

4404202400320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4404202400320 is an abundant number, since it is smaller than the sum of its proper divisors (6083304566204).

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

4404202400320 is a wasteful number, since it uses less digits than its factorization.

4404202400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13763132518 (or 13763132508 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 4404202400320 its reverse (230042024044), we get a palindrome (4634244424364).

The spelling of 4404202400320 in words is "four trillion, four hundred four billion, two hundred two million, four hundred thousand, three hundred twenty".