4612491921024 has 640 divisors, whose sum is σ = 15087875806080. Its totient is φ = 1390184570880.

The previous prime is 4612491921001. The next prime is 4612491921031. The reversal of 4612491921024 is 4201291942164.

4612491921024 is a `hidden beast` number, since 4 + 61 + 2 + 491 + 92 + 10 + 2 + 4 = 666.

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 79 ways as a sum of consecutive naturals, for example, 1559853754 + ... + 1559856710.

It is an arithmetic number, because the mean of its divisors is an integer number (23574805947).

Almost surely, 2^{4612491921024} 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 4612491921024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7543937903040).

4612491921024 is an abundant number, since it is smaller than the sum of its proper divisors (10475383885056).

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

4612491921024 is a wasteful number, since it uses less digits than its factorization.

4612491921024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3230 (or 3209 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 4612491921024 in words is "four trillion, six hundred twelve billion, four hundred ninety-one million, nine hundred twenty-one thousand, twenty-four".