461428471929600 has 3240 divisors, whose sum is σ = 2076254222787360. Its totient is φ = 100816169287680.

The previous prime is 461428471929599. The next prime is 461428471929703. The reversal of 461428471929600 is 6929174824164.

461428471929600 is a `hidden beast` number, since 4 + 6 + 1 + 4 + 2 + 8 + 4 + 7 + 19 + 2 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 359 ways as a sum of consecutive naturals, for example, 309061266454 + ... + 309061267946.

It is an arithmetic number, because the mean of its divisors is an integer number (640819204564).

Almost surely, 2^{461428471929600} is an apocalyptic number.

461428471929600 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 461428471929600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038127111393680).

461428471929600 is an abundant number, since it is smaller than the sum of its proper divisors (1614825750857760).

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

461428471929600 is an equidigital number, since it uses as much as digits as its factorization.

461428471929600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 461428471929600 in words is "four hundred sixty-one trillion, four hundred twenty-eight billion, four hundred seventy-one million, nine hundred twenty-nine thousand, six hundred".