466420032000 has 1120 divisors, whose sum is σ = 1880351993520. Its totient is φ = 114661785600.

The previous prime is 466420031983. The next prime is 466420032047. The reversal of 466420032000 is 230024664.

It can be written as a sum of positive squares in 8 ways, for example, as 2299394304 + 464120637696 = 47952^2 + 681264^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 606527616 + ... + 606528384.

Almost surely, 2^466420032000 is an apocalyptic number.

466420032000 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 466420032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940175996760).

466420032000 is an abundant number, since it is smaller than the sum of its proper divisors (1413931961520).

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

466420032000 is an frugal number, since it uses more digits than its factorization.

466420032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 466420032000 its reverse (230024664), we get a palindrome (466650056664).

The spelling of 466420032000 in words is "four hundred sixty-six billion, four hundred twenty million, thirty-two thousand".