4048041588480 has 1008 divisors, whose sum is σ = 15463759278240. Its totient is φ = 1014828466176.

The previous prime is 4048041588473. The next prime is 4048041588499. The reversal of 4048041588480 is 848851408404.

4048041588480 is a `hidden beast` number, since 4 + 0 + 4 + 8 + 0 + 4 + 158 + 8 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4584418119 + ... + 4584419001.

It is an arithmetic number, because the mean of its divisors is an integer number (15341031030).

Almost surely, 2^{4048041588480} is an apocalyptic number.

4048041588480 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 4048041588480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7731879639120).

4048041588480 is an abundant number, since it is smaller than the sum of its proper divisors (11415717689760).

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

4048041588480 is an frugal number, since it uses more digits than its factorization.

4048041588480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 5242880, while the sum is 54.

The spelling of 4048041588480 in words is "four trillion, forty-eight billion, forty-one million, five hundred eighty-eight thousand, four hundred eighty".