461998440391680 has 528 divisors, whose sum is σ = 1660949629859520. Its totient is φ = 123136674398208.

The previous prime is 461998440391679. The next prime is 461998440391681. The reversal of 461998440391680 is 86193044899164.

461998440391680 is a `hidden beast` number, since 4 + 6 + 1 + 9 + 98 + 440 + 3 + 9 + 16 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (461998440391679) and next prime (461998440391681).

It is a super-2 number, since 2×461998440391680² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 461998440391599 and 461998440391608.

It is not an unprimeable number, because it can be changed into a prime (461998440391681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2462098822 + ... + 2462286458.

It is an arithmetic number, because the mean of its divisors is an integer number (3145737935340).

Almost surely, 2^{461998440391680} is an apocalyptic number.

461998440391680 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 461998440391680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830474814929760).

461998440391680 is an abundant number, since it is smaller than the sum of its proper divisors (1198951189467840).

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

461998440391680 is a wasteful number, since it uses less digits than its factorization.

461998440391680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189656 (or 189626 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 72.

The spelling of 461998440391680 in words is "four hundred sixty-one trillion, nine hundred ninety-eight billion, four hundred forty million, three hundred ninety-one thousand, six hundred eighty".