461241131561232 has 240 divisors, whose sum is σ = 1338880786145280. Its totient is φ = 136681659488000.

The previous prime is 461241131561213. The next prime is 461241131561237. The reversal of 461241131561232 is 232165131142164.

It is not an unprimeable number, because it can be changed into a prime (461241131561237) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61926757 + ... + 68973947.

It is an arithmetic number, because the mean of its divisors is an integer number (5578669942272).

Almost surely, 2^{461241131561232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461241131561232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669440393072640).

461241131561232 is an abundant number, since it is smaller than the sum of its proper divisors (877639654584048).

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

461241131561232 is a wasteful number, since it uses less digits than its factorization.

461241131561232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7047474 (or 7047457 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The spelling of 461241131561232 in words is "four hundred sixty-one trillion, two hundred forty-one billion, one hundred thirty-one million, five hundred sixty-one thousand, two hundred thirty-two".