461419706832 has 1280 divisors, whose sum is σ = 1678521139200. Its totient is φ = 105982525440.

The previous prime is 461419706827. The next prime is 461419706843. The reversal of 461419706832 is 238607914164.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5184491044 + ... + 5184491132.

It is an arithmetic number, because the mean of its divisors is an integer number (1311344640).

Almost surely, 2^461419706832 is an apocalyptic number.

461419706832 is a gapful number since it is divisible by the number (42) 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 461419706832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839260569600).

461419706832 is an abundant number, since it is smaller than the sum of its proper divisors (1217101432368).

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

461419706832 is a wasteful number, since it uses less digits than its factorization.

461419706832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 461419706832 in words is "four hundred sixty-one billion, four hundred nineteen million, seven hundred six thousand, eight hundred thirty-two".