461340043164 has 144 divisors (see below), whose sum is σ = 1565760268800. Its totient is φ = 110610990720.

The previous prime is 461340043141. The next prime is 461340043207.

461340043164 is a `hidden beast` number, since 4 + 613 + 4 + 0 + 0 + 4 + 31 + 6 + 4 = 666.

461340043164 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×461340043164² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6365064 + ... + 6437135.

It is an arithmetic number, because the mean of its divisors is an integer number (10873335200).

Almost surely, 2^461340043164 is an apocalyptic number.

461340043164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

461340043164 is an abundant number, since it is smaller than the sum of its proper divisors (1104420225636).

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

461340043164 is a wasteful number, since it uses less digits than its factorization.

461340043164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12802240 (or 12802235 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

It can be divided in two parts, 4613400 and 43164, that added together give a palindrome (4656564).

The spelling of 461340043164 in words is "four hundred sixty-one billion, three hundred forty million, forty-three thousand, one hundred sixty-four".