844004000400 has 240 divisors, whose sum is σ = 2952270417600. Its totient is φ = 204408627200.

The previous prime is 844004000327. The next prime is 844004000579. The reversal of 844004000400 is 4000400448.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13816324 + ... + 13877276.

It is an arithmetic number, because the mean of its divisors is an integer number (12301126740).

Almost surely, 2^844004000400 is an apocalyptic number.

844004000400 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 844004000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476135208800).

844004000400 is an abundant number, since it is smaller than the sum of its proper divisors (2108266417200).

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

844004000400 is a wasteful number, since it uses less digits than its factorization.

844004000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62034 (or 62023 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 844004000400 its reverse (4000400448), we get a palindrome (848004400848).

The spelling of 844004000400 in words is "eight hundred forty-four billion, four million, four hundred", and thus it is an aban number.