461775947040 has 144 divisors (see below), whose sum is σ = 1581803391168. Its totient is φ = 122671938048.

The previous prime is 461775947029. The next prime is 461775947063. The reversal of 461775947040 is 40749577164.

It is a happy number.

461775947040 is a `hidden beast` number, since 4 + 6 + 1 + 7 + 7 + 594 + 7 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230934 + ... + 988373.

It is an arithmetic number, because the mean of its divisors is an integer number (10984745772).

Almost surely, 2^461775947040 is an apocalyptic number.

461775947040 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 461775947040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790901695584).

461775947040 is an abundant number, since it is smaller than the sum of its proper divisors (1120027444128).

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

461775947040 is a wasteful number, since it uses less digits than its factorization.

461775947040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219591 (or 1219580 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 461775947040 in words is "four hundred sixty-one billion, seven hundred seventy-five million, nine hundred forty-seven thousand, forty".