466787200000 has 528 divisors, whose sum is σ = 1295284284000. Its totient is φ = 166707200000.

The previous prime is 466787199961. The next prime is 466787200021. The reversal of 466787200000 is 2787664.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3132799926 + ... + 3132800074.

Almost surely, 2^466787200000 is an apocalyptic number.

466787200000 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 466787200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647642142000).

466787200000 is an abundant number, since it is smaller than the sum of its proper divisors (828497084000).

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

466787200000 is an equidigital number, since it uses as much as digits as its factorization.

466787200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

Adding to 466787200000 its reverse (2787664), we get a palindrome (466789987664).

The spelling of 466787200000 in words is "four hundred sixty-six billion, seven hundred eighty-seven million, two hundred thousand".