461725441040 has 40 divisors (see below), whose sum is σ = 1073543079768. Its totient is φ = 184684769280.

The previous prime is 461725441039. The next prime is 461725441049. The reversal of 461725441040 is 40144527164.

It can be written as a sum of positive squares in 4 ways, for example, as 213514229776 + 248211211264 = 462076^2 + 498208^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 461725440985 and 461725441003.

It is not an unprimeable number, because it can be changed into a prime (461725441049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3740954 + ... + 3862406.

Almost surely, 2^461725441040 is an apocalyptic number.

461725441040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461725441040 is an abundant number, since it is smaller than the sum of its proper divisors (611817638728).

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

461725441040 is a wasteful number, since it uses less digits than its factorization.

461725441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168987 (or 168981 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The spelling of 461725441040 in words is "four hundred sixty-one billion, seven hundred twenty-five million, four hundred forty-one thousand, forty".