461540360160 has 576 divisors, whose sum is σ = 1747641692160. Its totient is φ = 109983744000.

The previous prime is 461540360143. The next prime is 461540360191. The reversal of 461540360160 is 61063045164.

It is a happy number.

461540360160 is a `hidden beast` number, since 4 + 6 + 1 + 5 + 40 + 3 + 601 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 339117880 + ... + 339119240.

It is an arithmetic number, because the mean of its divisors is an integer number (3034100160).

Almost surely, 2^461540360160 is an apocalyptic number.

461540360160 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 461540360160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873820846080).

461540360160 is an abundant number, since it is smaller than the sum of its proper divisors (1286101332000).

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

461540360160 is a wasteful number, since it uses less digits than its factorization.

461540360160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 461540360160 in words is "four hundred sixty-one billion, five hundred forty million, three hundred sixty thousand, one hundred sixty".