466216361280 has 896 divisors, whose sum is σ = 1802690588160. Its totient is φ = 112963092480.

The previous prime is 466216361203. The next prime is 466216361293. The reversal of 466216361280 is 82163612664.

466216361280 is a `hidden beast` number, since 4 + 6 + 6 + 2 + 1 + 6 + 361 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 612636100 + ... + 612636860.

It is an arithmetic number, because the mean of its divisors is an integer number (2011931460).

Almost surely, 2^466216361280 is an apocalyptic number.

466216361280 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 466216361280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901345294080).

466216361280 is an abundant number, since it is smaller than the sum of its proper divisors (1336474226880).

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

466216361280 is a wasteful number, since it uses less digits than its factorization.

466216361280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 466216361280 in words is "four hundred sixty-six billion, two hundred sixteen million, three hundred sixty-one thousand, two hundred eighty".