4048444160000 has 120 divisors (see below), whose sum is σ = 10115404659360. Its totient is φ = 1619377152000.

The previous prime is 4048444159943. The next prime is 4048444160009. The reversal of 4048444160000 is 614448404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4048444160009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 301424 + ... + 2861423.

It is an arithmetic number, because the mean of its divisors is an integer number (84295038828).

Almost surely, 2^{4048444160000} is an apocalyptic number.

4048444160000 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 4048444160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5057702329680).

4048444160000 is an abundant number, since it is smaller than the sum of its proper divisors (6066960499360).

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

4048444160000 is an frugal number, since it uses more digits than its factorization.

4048444160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3162889 (or 3162854 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 35.

The spelling of 4048444160000 in words is "four trillion, forty-eight billion, four hundred forty-four million, one hundred sixty thousand".