4084048800000 has 648 divisors, whose sum is σ = 15850740440808. Its totient is φ = 1005281280000.

The previous prime is 4084048799933. The next prime is 4084048800001. The reversal of 4084048800000 is 88404804.

It can be written as a sum of positive squares in 12 ways, for example, as 4042608869376 + 41439930624 = 2010624^2 + 203568^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4084048800001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 93578184 + ... + 93621816.

Almost surely, 2^{4084048800000} is an apocalyptic number.

4084048800000 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 4084048800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7925370220404).

4084048800000 is an abundant number, since it is smaller than the sum of its proper divisors (11766691640808).

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

4084048800000 is an equidigital number, since it uses as much as digits as its factorization.

4084048800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43693 (or 43656 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 4084048800000 in words is "four trillion, eighty-four billion, forty-eight million, eight hundred thousand".