466601802240 has 1920 divisors, whose sum is σ = 1960413954048. Its totient is φ = 94012047360.

The previous prime is 466601802223. The next prime is 466601802259. The reversal of 466601802240 is 42208106664.

It is a tau number, because it is divible by the number of its divisors (1920).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9927697897 + ... + 9927697943.

Almost surely, 2^466601802240 is an apocalyptic number.

466601802240 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 466601802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980206977024).

466601802240 is an abundant number, since it is smaller than the sum of its proper divisors (1493812151808).

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

466601802240 is a wasteful number, since it uses less digits than its factorization.

466601802240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 466601802240 in words is "four hundred sixty-six billion, six hundred one million, eight hundred two thousand, two hundred forty".