4048448080000 has 80 divisors (see below), whose sum is σ = 10078358666310. Its totient is φ = 1619379200000.

The previous prime is 4048448079847. The next prime is 4048448080051. The reversal of 4048448080000 is 808448404.

It can be written as a sum of positive squares in 5 ways, for example, as 283202780224 + 3765245299776 = 532168^2 + 1940424^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 25222801 + ... + 25382800.

Almost surely, 2^{4048448080000} is an apocalyptic number.

4048448080000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4048448080000 is an abundant number, since it is smaller than the sum of its proper divisors (6029910586310).

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

4048448080000 is an frugal number, since it uses more digits than its factorization.

4048448080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50605635 (or 50605608 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The spelling of 4048448080000 in words is "four trillion, forty-eight billion, four hundred forty-eight million, eighty thousand".