466507445664240 has 400 divisors, whose sum is σ = 1626612300640800. Its totient is φ = 123913735096320.

The previous prime is 466507445664193. The next prime is 466507445664251. The reversal of 466507445664240 is 42466544705664.

466507445664240 is a `hidden beast` number, since 4 + 6 + 6 + 5 + 0 + 7 + 44 + 566 + 4 + 24 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5921533650 + ... + 5921612430.

It is an arithmetic number, because the mean of its divisors is an integer number (4066530751602).

Almost surely, 2^{466507445664240} is an apocalyptic number.

466507445664240 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 466507445664240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813306150320400).

466507445664240 is an abundant number, since it is smaller than the sum of its proper divisors (1160104854976560).

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

466507445664240 is a wasteful number, since it uses less digits than its factorization.

466507445664240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82382 (or 82367 counting only the distinct ones).

The product of its (nonzero) digits is 464486400, while the sum is 63.

The spelling of 466507445664240 in words is "four hundred sixty-six trillion, five hundred seven billion, four hundred forty-five million, six hundred sixty-four thousand, two hundred forty".