466448640000 has 1440 divisors, whose sum is σ = 1884222980640. Its totient is φ = 102187008000.

The previous prime is 466448639959. The next prime is 466448640041. The reversal of 466448640000 is 46844664.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (466448639959) and next prime (466448640041).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6961919967 + ... + 6961920033.

It is an arithmetic number, because the mean of its divisors is an integer number (1308488181).

Almost surely, 2^466448640000 is an apocalyptic number.

466448640000 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 466448640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942111490320).

466448640000 is an abundant number, since it is smaller than the sum of its proper divisors (1417774340640).

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

466448640000 is an equidigital number, since it uses as much as digits as its factorization.

466448640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 466448640000 in words is "four hundred sixty-six billion, four hundred forty-eight million, six hundred forty thousand".