461556217120 has 192 divisors, whose sum is σ = 1156285912320. Its totient is φ = 173619597312.

The previous prime is 461556217103. The next prime is 461556217153. The reversal of 461556217120 is 21712655164.

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

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, 477306877 + ... + 477307843.

It is an arithmetic number, because the mean of its divisors is an integer number (6022322460).

Almost surely, 2^461556217120 is an apocalyptic number.

461556217120 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 461556217120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578142956160).

461556217120 is an abundant number, since it is smaller than the sum of its proper divisors (694729695200).

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

461556217120 is a wasteful number, since it uses less digits than its factorization.

461556217120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 461556217120 in words is "four hundred sixty-one billion, five hundred fifty-six million, two hundred seventeen thousand, one hundred twenty".