466760225116240 has 160 divisors (see below), whose sum is σ = 1193316537139200. Its totient is φ = 168377444928000.

The previous prime is 466760225116231. The next prime is 466760225116247. The reversal of 466760225116240 is 42611522067664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466760225116247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1128457465 + ... + 1128871015.

It is an arithmetic number, because the mean of its divisors is an integer number (7458228357120).

Almost surely, 2^{466760225116240} is an apocalyptic number.

466760225116240 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 466760225116240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596658268569600).

466760225116240 is an abundant number, since it is smaller than the sum of its proper divisors (726556312022960).

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

466760225116240 is a wasteful number, since it uses less digits than its factorization.

466760225116240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423801 (or 423795 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 52.

The spelling of 466760225116240 in words is "four hundred sixty-six trillion, seven hundred sixty billion, two hundred twenty-five million, one hundred sixteen thousand, two hundred forty".