4048121820288 has 768 divisors, whose sum is σ = 13801061007360. Its totient is φ = 1028326440960.

The previous prime is 4048121820271. The next prime is 4048121820343. The reversal of 4048121820288 is 8820281218404.

It is a happy number.

4048121820288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 3703679070 + ... + 3703680162.

It is an arithmetic number, because the mean of its divisors is an integer number (17970131520).

Almost surely, 2^{4048121820288} is an apocalyptic number.

4048121820288 is a gapful number since it is divisible by the number (48) 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 4048121820288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6900530503680).

4048121820288 is an abundant number, since it is smaller than the sum of its proper divisors (9752939187072).

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

4048121820288 is a wasteful number, since it uses less digits than its factorization.

4048121820288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 48.

The spelling of 4048121820288 in words is "four trillion, forty-eight billion, one hundred twenty-one million, eight hundred twenty thousand, two hundred eighty-eight".