461131622320 has 80 divisors (see below), whose sum is σ = 1081352083680. Its totient is φ = 182868940800.

The previous prime is 461131622317. The next prime is 461131622339. The reversal of 461131622320 is 23226131164.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11182540 + ... + 11223700.

It is an arithmetic number, because the mean of its divisors is an integer number (13516901046).

Almost surely, 2^461131622320 is an apocalyptic number.

461131622320 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 461131622320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540676041840).

461131622320 is an abundant number, since it is smaller than the sum of its proper divisors (620220461360).

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

461131622320 is a wasteful number, since it uses less digits than its factorization.

461131622320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42374 (or 42368 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 461131622320 its reverse (23226131164), we get a palindrome (484357753484).

The spelling of 461131622320 in words is "four hundred sixty-one billion, one hundred thirty-one million, six hundred twenty-two thousand, three hundred twenty".