461314318240 has 192 divisors, whose sum is σ = 1185408000000. Its totient is φ = 169005450240.

The previous prime is 461314318211. The next prime is 461314318243. The reversal of 461314318240 is 42813413164.

It is a self number, because there is not a number n which added to its sum of digits gives 461314318240.

It is not an unprimeable number, because it can be changed into a prime (461314318243) 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, 131840011 + ... + 131843509.

It is an arithmetic number, because the mean of its divisors is an integer number (6174000000).

Almost surely, 2^461314318240 is an apocalyptic number.

461314318240 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 461314318240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592704000000).

461314318240 is an abundant number, since it is smaller than the sum of its proper divisors (724093681760).

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

461314318240 is a wasteful number, since it uses less digits than its factorization.

461314318240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4963 (or 4955 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 461314318240 in words is "four hundred sixty-one billion, three hundred fourteen million, three hundred eighteen thousand, two hundred forty".