461340330000 has 600 divisors, whose sum is σ = 1723377717600. Its totient is φ = 105937920000.

The previous prime is 461340329977. The next prime is 461340330089. The reversal of 461340330000 is 33043164.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 68966656 + ... + 68973344.

It is an arithmetic number, because the mean of its divisors is an integer number (2872296196).

Almost surely, 2^461340330000 is an apocalyptic number.

461340330000 is a gapful number since it is divisible by the number (40) 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 461340330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861688858800).

461340330000 is an abundant number, since it is smaller than the sum of its proper divisors (1262037387600).

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

461340330000 is a wasteful number, since it uses less digits than its factorization.

461340330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6761 (or 6729 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 461340330000 its reverse (33043164), we get a palindrome (461373373164).

The spelling of 461340330000 in words is "four hundred sixty-one billion, three hundred forty million, three hundred thirty thousand".