8484848000400 has 120 divisors (see below), whose sum is σ = 28361526799680. Its totient is φ = 2164251077120.

The previous prime is 8484848000381. The next prime is 8484848000407. The reversal of 8484848000400 is 40008484848.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 8484848000400.

It is not an unprimeable number, because it can be changed into a prime (8484848000407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153683415 + ... + 153738614.

It is an arithmetic number, because the mean of its divisors is an integer number (236346056664).

Almost surely, 2^{8484848000400} is an apocalyptic number.

8484848000400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8484848000400 is an abundant number, since it is smaller than the sum of its proper divisors (19876678799280).

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

8484848000400 is a wasteful number, since it uses less digits than its factorization.

8484848000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307422073 (or 307422062 counting only the distinct ones).

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

The spelling of 8484848000400 in words is "eight trillion, four hundred eighty-four billion, eight hundred forty-eight million, four hundred", and thus it is an aban number.