461131520000 has 480 divisors, whose sum is σ = 1235270836800. Its totient is φ = 171528192000.

The previous prime is 461131519987. The next prime is 461131520041. The reversal of 461131520000 is 25131164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1629439859 + ... + 1629440141.

It is an arithmetic number, because the mean of its divisors is an integer number (2573480910).

Almost surely, 2^461131520000 is an apocalyptic number.

461131520000 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 461131520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617635418400).

461131520000 is an abundant number, since it is smaller than the sum of its proper divisors (774139316800).

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

461131520000 is an equidigital number, since it uses as much as digits as its factorization.

461131520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 461131520000 its reverse (25131164), we get a palindrome (461156651164).

The spelling of 461131520000 in words is "four hundred sixty-one billion, one hundred thirty-one million, five hundred twenty thousand".