461251442661240 has 256 divisors, whose sum is σ = 1725546312990720. Its totient is φ = 95825227184640.

The previous prime is 461251442661227. The next prime is 461251442661253. The reversal of 461251442661240 is 42166244152164.

It is an interprime number because it is at equal distance from previous prime (461251442661227) and next prime (461251442661253).

It is a self number, because there is not a number n which added to its sum of digits gives 461251442661240.

It is a congruent 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, 41074969 + ... + 51084791.

It is an arithmetic number, because the mean of its divisors is an integer number (6740415285120).

Almost surely, 2^{461251442661240} is an apocalyptic number.

461251442661240 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 461251442661240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862773156495360).

461251442661240 is an abundant number, since it is smaller than the sum of its proper divisors (1264294870329480).

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

461251442661240 is a wasteful number, since it uses less digits than its factorization.

461251442661240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10014842 (or 10014838 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 461251442661240 in words is "four hundred sixty-one trillion, two hundred fifty-one billion, four hundred forty-two million, six hundred sixty-one thousand, two hundred forty".