466321117702040 has 128 divisors (see below), whose sum is σ = 1120970989728000. Its totient is φ = 174067160053248.

The previous prime is 466321117701931. The next prime is 466321117702057. The reversal of 466321117702040 is 40207711123664.

It is a junction number, because it is equal to n+sod(n) for n = 466321117701982 and 466321117702000.

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 31 ways as a sum of consecutive naturals, for example, 1485637754 + ... + 1485951606.

It is an arithmetic number, because the mean of its divisors is an integer number (8757585857250).

Almost surely, 2^{466321117702040} is an apocalyptic number.

466321117702040 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 466321117702040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560485494864000).

466321117702040 is an abundant number, since it is smaller than the sum of its proper divisors (654649872025960).

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

466321117702040 is a wasteful number, since it uses less digits than its factorization.

466321117702040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343129 (or 343125 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 44.

The spelling of 466321117702040 in words is "four hundred sixty-six trillion, three hundred twenty-one billion, one hundred seventeen million, seven hundred two thousand, forty".