466530140160 has 1224 divisors, whose sum is σ = 1981239876096. Its totient is φ = 103195607040.

The previous prime is 466530140039. The next prime is 466530140171. The reversal of 466530140160 is 61041035664.

It is a happy number.

466530140160 is a `hidden beast` number, since 4 + 66 + 530 + 1 + 4 + 0 + 1 + 60 = 666.

It is a super-3 number, since 3×466530140160³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15049359345 + ... + 15049359375.

Almost surely, 2^466530140160 is an apocalyptic number.

466530140160 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 466530140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990619938048).

466530140160 is an abundant number, since it is smaller than the sum of its proper divisors (1514709735936).

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

466530140160 is an frugal number, since it uses more digits than its factorization.

466530140160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 466530140160 in words is "four hundred sixty-six billion, five hundred thirty million, one hundred forty thousand, one hundred sixty".