466105005605040 has 160 divisors (see below), whose sum is σ = 1484182817261760. Its totient is φ = 120918625431552.

The previous prime is 466105005605023. The next prime is 466105005605059. The reversal of 466105005605040 is 40506500501664.

It is a junction number, because it is equal to n+sod(n) for n = 466105005604983 and 466105005605001.

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, 60638106 + ... + 67891014.

It is an arithmetic number, because the mean of its divisors is an integer number (9276142607886).

Almost surely, 2^{466105005605040} is an apocalyptic number.

466105005605040 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 466105005605040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742091408630880).

466105005605040 is an abundant number, since it is smaller than the sum of its proper divisors (1018077811656720).

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

466105005605040 is a wasteful number, since it uses less digits than its factorization.

466105005605040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7260199 (or 7260193 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 466105005605040 in words is "four hundred sixty-six trillion, one hundred five billion, five million, six hundred five thousand, forty".