4841446401792 has 2592 divisors, whose sum is σ = 20519127982080. Its totient is φ = 1117832970240.

The previous prime is 4841446401773. The next prime is 4841446401793. The reversal of 4841446401792 is 2971046441484.

4841446401792 is a `hidden beast` number, since 4 + 8 + 4 + 1 + 4 + 464 + 0 + 179 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×4841446401792² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4841446401793) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 12640852033 + ... + 12640852415.

It is an arithmetic number, because the mean of its divisors is an integer number (7916330240).

Almost surely, 2^{4841446401792} is an apocalyptic number.

4841446401792 is a gapful number since it is divisible by the number (42) 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 4841446401792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10259563991040).

4841446401792 is an abundant number, since it is smaller than the sum of its proper divisors (15677681580288).

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

4841446401792 is a wasteful number, since it uses less digits than its factorization.

4841446401792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 4841446401792 in words is "four trillion, eight hundred forty-one billion, four hundred forty-six million, four hundred one thousand, seven hundred ninety-two".