4601841795840 has 576 divisors, whose sum is σ = 15727573370880. Its totient is φ = 1144191713280.

The previous prime is 4601841795829. The next prime is 4601841795871. The reversal of 4601841795840 is 485971481064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 608785981 + ... + 608793539.

It is an arithmetic number, because the mean of its divisors is an integer number (27304814880).

Almost surely, 2^{4601841795840} is an apocalyptic number.

4601841795840 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 4601841795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7863786685440).

4601841795840 is an abundant number, since it is smaller than the sum of its proper divisors (11125731575040).

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

4601841795840 is a wasteful number, since it uses less digits than its factorization.

4601841795840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7780 (or 7766 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 4601841795840 in words is "four trillion, six hundred one billion, eight hundred forty-one million, seven hundred ninety-five thousand, eight hundred forty".