834022461000 has 256 divisors, whose sum is σ = 2743144185600. Its totient is φ = 210389760000.

The previous prime is 834022460983. The next prime is 834022461023. The reversal of 834022461000 is 164220438.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39946564 + ... + 39967436.

It is an arithmetic number, because the mean of its divisors is an integer number (10715406975).

Almost surely, 2^834022461000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834022461000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371572092800).

834022461000 is an abundant number, since it is smaller than the sum of its proper divisors (1909121724600).

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

834022461000 is a wasteful number, since it uses less digits than its factorization.

834022461000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21617 (or 21603 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 834022461000 its reverse (164220438), we get a palindrome (834186681438).

The spelling of 834022461000 in words is "eight hundred thirty-four billion, twenty-two million, four hundred sixty-one thousand".