461171273472 has 1080 divisors, whose sum is σ = 1788870748896. Its totient is φ = 115055935488.

The previous prime is 461171273443. The next prime is 461171273477. The reversal of 461171273472 is 274372171164.

461171273472 is a `hidden beast` number, since 4 + 6 + 1 + 171 + 2 + 7 + 3 + 472 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461171273477) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 681197998 + ... + 681198674.

Almost surely, 2^461171273472 is an apocalyptic number.

461171273472 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 461171273472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894435374448).

461171273472 is an abundant number, since it is smaller than the sum of its proper divisors (1327699475424).

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

461171273472 is a wasteful number, since it uses less digits than its factorization.

461171273472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 721 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The spelling of 461171273472 in words is "four hundred sixty-one billion, one hundred seventy-one million, two hundred seventy-three thousand, four hundred seventy-two".