461140635013220 has 96 divisors (see below), whose sum is σ = 1029345297684480. Its totient is φ = 172932388567040.

The previous prime is 461140635013199. The next prime is 461140635013283. The reversal of 461140635013220 is 22310536041164.

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, 88171265 + ... + 93254775.

It is an arithmetic number, because the mean of its divisors is an integer number (10722346850880).

Almost surely, 2^{461140635013220} 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 461140635013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514672648842240).

461140635013220 is an abundant number, since it is smaller than the sum of its proper divisors (568204662671260).

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

461140635013220 is a wasteful number, since it uses less digits than its factorization.

461140635013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5084573 (or 5084571 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 461140635013220 in words is "four hundred sixty-one trillion, one hundred forty billion, six hundred thirty-five million, thirteen thousand, two hundred twenty".