461312640000 has 495 divisors, whose sum is σ = 1670407410243. Its totient is φ = 122582016000.

The previous prime is 461312639987. The next prime is 461312640031. The reversal of 461312640000 is 46213164.

The square root of 461312640000 is 679200.

It is a perfect power (a square), and thus also a powerful number.

461312640000 is a `hidden beast` number, since 4 + 6 + 1 + 3 + 12 + 640 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36166910976 + 425145729024 = 190176^2 + 652032^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1630079859 + ... + 1630080141.

Almost surely, 2^461312640000 is an apocalyptic number.

461312640000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

461312640000 is the 679200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461312640000

461312640000 is an abundant number, since it is smaller than the sum of its proper divisors (1209094770243).

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

461312640000 is an frugal number, since it uses more digits than its factorization.

461312640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 461312640000 its reverse (46213164), we get a palindrome (461358853164).

The spelling of 461312640000 in words is "four hundred sixty-one billion, three hundred twelve million, six hundred forty thousand".