834365222400 has 960 divisors, whose sum is σ = 3098614818816. Its totient is φ = 196804608000.

The previous prime is 834365222321. The next prime is 834365222441. The reversal of 834365222400 is 4222563438.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 915877945 + ... + 915878855.

Almost surely, 2^834365222400 is an apocalyptic number.

834365222400 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 834365222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549307409408).

834365222400 is an abundant number, since it is smaller than the sum of its proper divisors (2264249596416).

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

834365222400 is a wasteful number, since it uses less digits than its factorization.

834365222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

Adding to 834365222400 its reverse (4222563438), we get a palindrome (838587785838).

The spelling of 834365222400 in words is "eight hundred thirty-four billion, three hundred sixty-five million, two hundred twenty-two thousand, four hundred".