466645847040 has 1232 divisors, whose sum is σ = 1795624469760. Its totient is φ = 116095057920.

The previous prime is 466645847039. The next prime is 466645847081. The reversal of 466645847040 is 40748546664.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 111 ways as a sum of consecutive naturals, for example, 4281154506 + ... + 4281154614.

Almost surely, 2^466645847040 is an apocalyptic number.

466645847040 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 466645847040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897812234880).

466645847040 is an abundant number, since it is smaller than the sum of its proper divisors (1328978622720).

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

466645847040 is a wasteful number, since it uses less digits than its factorization.

466645847040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 466645847040 in words is "four hundred sixty-six billion, six hundred forty-five million, eight hundred forty-seven thousand, forty".