461955246603840 has 2240 divisors, whose sum is σ = 1921534739486208. Its totient is φ = 104104407859200.

The previous prime is 461955246603821. The next prime is 461955246603947. The reversal of 461955246603840 is 48306642559164.

It is a happy number.

461955246603840 is a `hidden beast` number, since 4 + 6 + 1 + 9 + 5 + 5 + 246 + 6 + 0 + 384 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 448065224125 + ... + 448065225155.

Almost surely, 2^{461955246603840} is an apocalyptic number.

461955246603840 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 461955246603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960767369743104).

461955246603840 is an abundant number, since it is smaller than the sum of its proper divisors (1459579492882368).

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

461955246603840 is a wasteful number, since it uses less digits than its factorization.

461955246603840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 461955246603840 in words is "four hundred sixty-one trillion, nine hundred fifty-five billion, two hundred forty-six million, six hundred three thousand, eight hundred forty".