461354566210340 has 192 divisors, whose sum is σ = 1104708744437760. Its totient is φ = 160348688693760.

The previous prime is 461354566210309. The next prime is 461354566210397. The reversal of 461354566210340 is 43012665453164.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2571147746 + ... + 2571327174.

It is an arithmetic number, because the mean of its divisors is an integer number (5753691377280).

Almost surely, 2^{461354566210340} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461354566210340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552354372218880).

461354566210340 is an abundant number, since it is smaller than the sum of its proper divisors (643354178227420).

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

461354566210340 is a wasteful number, since it uses less digits than its factorization.

461354566210340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185322 (or 185320 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 50.

The spelling of 461354566210340 in words is "four hundred sixty-one trillion, three hundred fifty-four billion, five hundred sixty-six million, two hundred ten thousand, three hundred forty".