4610457941824 has 112 divisors (see below), whose sum is σ = 10536373997568. Its totient is φ = 1960733081088.

The previous prime is 4610457941819. The next prime is 4610457941851. The reversal of 4610457941824 is 4281497540164.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47197737 + ... + 47295319.

Almost surely, 2^{4610457941824} 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 4610457941824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5268186998784).

4610457941824 is an abundant number, since it is smaller than the sum of its proper divisors (5925916055744).

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

4610457941824 is a wasteful number, since it uses less digits than its factorization.

4610457941824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98412 (or 98402 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 55.

The spelling of 4610457941824 in words is "four trillion, six hundred ten billion, four hundred fifty-seven million, nine hundred forty-one thousand, eight hundred twenty-four".