461600123705320 has 128 divisors (see below), whose sum is σ = 1056118046400000. Its totient is φ = 181551257485312.

The previous prime is 461600123705311. The next prime is 461600123705321. The reversal of 461600123705320 is 23507321006164.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (461600123705321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 547615941 + ... + 548458219.

It is an arithmetic number, because the mean of its divisors is an integer number (8250922237500).

Almost surely, 2^{461600123705320} is an apocalyptic number.

461600123705320 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 461600123705320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528059023200000).

461600123705320 is an abundant number, since it is smaller than the sum of its proper divisors (594517922694680).

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

461600123705320 is a wasteful number, since it uses less digits than its factorization.

461600123705320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843235 (or 843231 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 461600123705320 in words is "four hundred sixty-one trillion, six hundred billion, one hundred twenty-three million, seven hundred five thousand, three hundred twenty".