4444313424120 has 384 divisors, whose sum is σ = 15295423104000. Its totient is φ = 1116842496000.

The previous prime is 4444313424119. The next prime is 4444313424181. The reversal of 4444313424120 is 214243134444.

4444313424120 is a `hidden beast` number, since 44 + 44 + 31 + 3 + 424 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1586686720 + ... + 1586689520.

It is an arithmetic number, because the mean of its divisors is an integer number (39831831000).

Almost surely, 2^{4444313424120} is an apocalyptic number.

4444313424120 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 4444313424120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7647711552000).

4444313424120 is an abundant number, since it is smaller than the sum of its proper divisors (10851109679880).

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

4444313424120 is a wasteful number, since it uses less digits than its factorization.

4444313424120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5611 (or 5604 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 4444313424120 its reverse (214243134444), we get a palindrome (4658556558564).

The spelling of 4444313424120 in words is "four trillion, four hundred forty-four billion, three hundred thirteen million, four hundred twenty-four thousand, one hundred twenty".