466000128000 has 1344 divisors, whose sum is σ = 1910357991360. Its totient is φ = 112472064000.

The previous prime is 466000127987. The next prime is 466000128001. The reversal of 466000128000 is 821000664.

466000128000 is a `hidden beast` number, since 46 + 600 + 0 + 12 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×466000128000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (466000128001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2052863887 + ... + 2052864113.

It is an arithmetic number, because the mean of its divisors is an integer number (1421397315).

Almost surely, 2^466000128000 is an apocalyptic number.

466000128000 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 466000128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955178995680).

466000128000 is an abundant number, since it is smaller than the sum of its proper divisors (1444357863360).

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

466000128000 is an equidigital number, since it uses as much as digits as its factorization.

466000128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 466000128000 its reverse (821000664), we get a palindrome (466821128664).

The spelling of 466000128000 in words is "four hundred sixty-six billion, one hundred twenty-eight thousand".