8004048848400 has 480 divisors, whose sum is σ = 28273998919680. Its totient is φ = 1919358720000.

The previous prime is 8004048848353. The next prime is 8004048848431. The reversal of 8004048848400 is 48488404008.

It is a happy number.

It is a super-3 number, since 3×8004048848400³ (a number of 40 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8004048848400.

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, 1897141491 + ... + 1897145709.

It is an arithmetic number, because the mean of its divisors is an integer number (58904164416).

Almost surely, 2^{8004048848400} is an apocalyptic number.

8004048848400 is a gapful number since it is divisible by the number (80) 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 8004048848400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14136999459840).

8004048848400 is an abundant number, since it is smaller than the sum of its proper divisors (20269950071280).

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

8004048848400 is a wasteful number, since it uses less digits than its factorization.

8004048848400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5775 (or 5764 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The spelling of 8004048848400 in words is "eight trillion, four billion, forty-eight million, eight hundred forty-eight thousand, four hundred".