461306340000 has 720 divisors, whose sum is σ = 1854748415520. Its totient is φ = 111818880000.

The previous prime is 461306339953. The next prime is 461306340023. The reversal of 461306340000 is 43603164.

461306340000 is a `hidden beast` number, since 4 + 613 + 0 + 6 + 3 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 53455686 + ... + 53464314.

It is an arithmetic number, because the mean of its divisors is an integer number (2576039466).

Almost surely, 2^461306340000 is an apocalyptic number.

461306340000 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 461306340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927374207760).

461306340000 is an abundant number, since it is smaller than the sum of its proper divisors (1393442075520).

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

461306340000 is an equidigital number, since it uses as much as digits as its factorization.

461306340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8685 (or 8650 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 461306340000 its reverse (43603164), we get a palindrome (461349943164).

The spelling of 461306340000 in words is "four hundred sixty-one billion, three hundred six million, three hundred forty thousand".