461934720000 has 1320 divisors, whose sum is σ = 1862173913600. Its totient is φ = 109486080000.

The previous prime is 461934719951. The next prime is 461934720041. The reversal of 461934720000 is 27439164.

461934720000 is a `hidden beast` number, since 4 + 619 + 34 + 7 + 2 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2321279901 + ... + 2321280099.

Almost surely, 2^461934720000 is an apocalyptic number.

461934720000 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 461934720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931086956800).

461934720000 is an abundant number, since it is smaller than the sum of its proper divisors (1400239193600).

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

461934720000 is a wasteful number, since it uses less digits than its factorization.

461934720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 461934720000 in words is "four hundred sixty-one billion, nine hundred thirty-four million, seven hundred twenty thousand".