461600172317640 has 128 divisors (see below), whose sum is σ = 1391075284464000. Its totient is φ = 122535758112768.

The previous prime is 461600172317573. The next prime is 461600172317749. The reversal of 461600172317640 is 46713271006164.

It is a self number, because there is not a number n which added to its sum of digits gives 461600172317640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217107246 + ... + 219223074.

It is an arithmetic number, because the mean of its divisors is an integer number (10867775659875).

Almost surely, 2^{461600172317640} is an apocalyptic number.

461600172317640 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 461600172317640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695537642232000).

461600172317640 is an abundant number, since it is smaller than the sum of its proper divisors (929475112146360).

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

461600172317640 is a wasteful number, since it uses less digits than its factorization.

461600172317640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124079 (or 2124075 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 461600172317640 in words is "four hundred sixty-one trillion, six hundred billion, one hundred seventy-two million, three hundred seventeen thousand, six hundred forty".