461873301120 has 1920 divisors, whose sum is σ = 2116335070080. Its totient is φ = 93939056640.

The previous prime is 461873301119. The next prime is 461873301133. The reversal of 461873301120 is 21103378164.

It is a happy number.

461873301120 is a `hidden beast` number, since 4 + 618 + 7 + 3 + 3 + 0 + 11 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2941868082 + ... + 2941868238.

It is an arithmetic number, because the mean of its divisors is an integer number (1102257849).

Almost surely, 2^461873301120 is an apocalyptic number.

461873301120 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 461873301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058167535040).

461873301120 is an abundant number, since it is smaller than the sum of its proper divisors (1654461768960).

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

461873301120 is a wasteful number, since it uses less digits than its factorization.

461873301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 461873301120 its reverse (21103378164), we get a palindrome (482976679284).

The spelling of 461873301120 in words is "four hundred sixty-one billion, eight hundred seventy-three million, three hundred one thousand, one hundred twenty".