461343401566040 has 256 divisors, whose sum is σ = 1210644929894400. Its totient is φ = 154949511168000.

The previous prime is 461343401566009. The next prime is 461343401566291. The reversal of 461343401566040 is 40665104343164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21357491240 + ... + 21357512840.

It is an arithmetic number, because the mean of its divisors is an integer number (4729081757400).

Almost surely, 2^{461343401566040} is an apocalyptic number.

461343401566040 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 461343401566040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605322464947200).

461343401566040 is an abundant number, since it is smaller than the sum of its proper divisors (749301528328360).

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

461343401566040 is a wasteful number, since it uses less digits than its factorization.

461343401566040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26146 (or 26142 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 47.

The spelling of 461343401566040 in words is "four hundred sixty-one trillion, three hundred forty-three billion, four hundred one million, five hundred sixty-six thousand, forty".