461708224440320 has 3072 divisors, whose sum is σ = 1479336348672000. Its totient is φ = 136788112834560.

The previous prime is 461708224440299. The next prime is 461708224440373. The reversal of 461708224440320 is 23044422807164.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5187732858836 + ... + 5187732858924.

It is an arithmetic number, because the mean of its divisors is an integer number (481554801000).

Almost surely, 2^{461708224440320} is an apocalyptic number.

461708224440320 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 461708224440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739668174336000).

461708224440320 is an abundant number, since it is smaller than the sum of its proper divisors (1017628124231680).

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

461708224440320 is a wasteful number, since it uses less digits than its factorization.

461708224440320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 47.

The spelling of 461708224440320 in words is "four hundred sixty-one trillion, seven hundred eight billion, two hundred twenty-four million, four hundred forty thousand, three hundred twenty".