444304312121120 has 384 divisors, whose sum is σ = 1159474213158912. Its totient is φ = 159549162393600.

The previous prime is 444304312121101. The next prime is 444304312121123. The reversal of 444304312121120 is 21121213403444.

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

It is not an unprimeable number, because it can be changed into a prime (444304312121123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77716336502 + ... + 77716342218.

It is an arithmetic number, because the mean of its divisors is an integer number (3019464096768).

Almost surely, 2^{444304312121120} is an apocalyptic number.

444304312121120 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 444304312121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579737106579456).

444304312121120 is an abundant number, since it is smaller than the sum of its proper divisors (715169901037792).

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

444304312121120 is a wasteful number, since it uses less digits than its factorization.

444304312121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7424 (or 7416 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 444304312121120 its reverse (21121213403444), we get a palindrome (465425525524564).

The spelling of 444304312121120 in words is "four hundred forty-four trillion, three hundred four billion, three hundred twelve million, one hundred twenty-one thousand, one hundred twenty".