848240870400 has 1584 divisors, whose sum is σ = 3825086428800. Its totient is φ = 174469939200.

The previous prime is 848240870363. The next prime is 848240870401. The reversal of 848240870400 is 4078042848.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (848240870401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2430489426 + ... + 2430489774.

Almost surely, 2^848240870400 is an apocalyptic number.

848240870400 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 848240870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912543214400).

848240870400 is an abundant number, since it is smaller than the sum of its proper divisors (2976845558400).

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

848240870400 is a wasteful number, since it uses less digits than its factorization.

848240870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 848240870400 in words is "eight hundred forty-eight billion, two hundred forty million, eight hundred seventy thousand, four hundred".