461209440706560 has 4480 divisors, whose sum is σ = 2131471561605120. Its totient is φ = 93952593100800.

The previous prime is 461209440706559. The next prime is 461209440706649. The reversal of 461209440706560 is 65607044902164.

461209440706560 is a `hidden beast` number, since 4 + 6 + 1 + 2 + 0 + 9 + 4 + 4 + 0 + 70 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (4480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 461209440706497 and 461209440706506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1070091509545 + ... + 1070091509975.

It is an arithmetic number, because the mean of its divisors is an integer number (475774902144).

Almost surely, 2^{461209440706560} is an apocalyptic number.

461209440706560 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 461209440706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065735780802560).

461209440706560 is an abundant number, since it is smaller than the sum of its proper divisors (1670262120898560).

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

461209440706560 is an equidigital number, since it uses as much as digits as its factorization.

461209440706560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 461209440706560 in words is "four hundred sixty-one trillion, two hundred nine billion, four hundred forty million, seven hundred six thousand, five hundred sixty".