461490361581760 has 224 divisors, whose sum is σ = 1322166637693440. Its totient is φ = 149880285093888.

The previous prime is 461490361581721. The next prime is 461490361581841. The reversal of 461490361581760 is 67185163094164.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 369947244 + ... + 371192596.

It is an arithmetic number, because the mean of its divisors is an integer number (5902529632560).

Almost surely, 2^{461490361581760} is an apocalyptic number.

461490361581760 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 461490361581760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661083318846720).

461490361581760 is an abundant number, since it is smaller than the sum of its proper divisors (860676276111680).

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

461490361581760 is a wasteful number, since it uses less digits than its factorization.

461490361581760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254103 (or 1254093 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 61.

The spelling of 461490361581760 in words is "four hundred sixty-one trillion, four hundred ninety billion, three hundred sixty-one million, five hundred eighty-one thousand, seven hundred sixty".