4048084808800 has 72 divisors (see below), whose sum is σ = 10402512712200. Its totient is φ = 1534011079680.

The previous prime is 4048084808791. The next prime is 4048084808809. The reversal of 4048084808800 is 88084808404.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4048084808791) and next prime (4048084808809).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4048084808809) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 133145485 + ... + 133175884.

It is an arithmetic number, because the mean of its divisors is an integer number (144479343225).

Almost surely, 2^{4048084808800} is an apocalyptic number.

4048084808800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4048084808800 is an abundant number, since it is smaller than the sum of its proper divisors (6354427903400).

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

4048084808800 is a wasteful number, since it uses less digits than its factorization.

4048084808800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266321408 (or 266321395 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 52.

The spelling of 4048084808800 in words is "four trillion, forty-eight billion, eighty-four million, eight hundred eight thousand, eight hundred".