464271360000 has 1200 divisors, whose sum is σ = 1886775238656. Its totient is φ = 99090432000.

The previous prime is 464271359999. The next prime is 464271360001. The reversal of 464271360000 is 63172464.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (464271359999) and next prime (464271360001).

It is a tau number, because it is divible by the number of its divisors (1200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464271360001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 3655679937 + ... + 3655680063.

Almost surely, 2^464271360000 is an apocalyptic number.

464271360000 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 464271360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943387619328).

464271360000 is an abundant number, since it is smaller than the sum of its proper divisors (1422503878656).

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

464271360000 is an equidigital number, since it uses as much as digits as its factorization.

464271360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 464271360000 in words is "four hundred sixty-four billion, two hundred seventy-one million, three hundred sixty thousand".