4464142843120 has 80 divisors (see below), whose sum is σ = 10927307170080. Its totient is φ = 1691380224000.

The previous prime is 4464142843079. The next prime is 4464142843129. The reversal of 4464142843120 is 213482414644.

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

It is a super-3 number, since 3×4464142843120³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4464142843129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8564380 + ... + 9070660.

It is an arithmetic number, because the mean of its divisors is an integer number (136591339626).

Almost surely, 2^{4464142843120} is an apocalyptic number.

4464142843120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4464142843120 is an abundant number, since it is smaller than the sum of its proper divisors (6463164326960).

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

4464142843120 is a wasteful number, since it uses less digits than its factorization.

4464142843120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512114 (or 512108 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 43.

The spelling of 4464142843120 in words is "four trillion, four hundred sixty-four billion, one hundred forty-two million, eight hundred forty-three thousand, one hundred twenty".