461431446320 has 160 divisors (see below), whose sum is σ = 1185518496960. Its totient is φ = 165940346880.

The previous prime is 461431446319. The next prime is 461431446337. The reversal of 461431446320 is 23644134164.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26300111 + ... + 26317649.

It is an arithmetic number, because the mean of its divisors is an integer number (7409490606).

Almost surely, 2^461431446320 is an apocalyptic number.

461431446320 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 461431446320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592759248480).

461431446320 is an abundant number, since it is smaller than the sum of its proper divisors (724087050640).

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

461431446320 is a wasteful number, since it uses less digits than its factorization.

461431446320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18223 (or 18217 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

The spelling of 461431446320 in words is "four hundred sixty-one billion, four hundred thirty-one million, four hundred forty-six thousand, three hundred twenty".