4944113457920 has 576 divisors, whose sum is σ = 15249505775616. Its totient is φ = 1494018293760.

The previous prime is 4944113457911. The next prime is 4944113457923. The reversal of 4944113457920 is 297543114494.

It is a super-2 number, since 2×4944113457920² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4944113457923) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 224445947 + ... + 224467973.

It is an arithmetic number, because the mean of its divisors is an integer number (26474836416).

Almost surely, 2^{4944113457920} is an apocalyptic number.

4944113457920 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 4944113457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7624752887808).

4944113457920 is an abundant number, since it is smaller than the sum of its proper divisors (10305392317696).

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

4944113457920 is a wasteful number, since it uses less digits than its factorization.

4944113457920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22156 (or 22142 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 53.

The spelling of 4944113457920 in words is "four trillion, nine hundred forty-four billion, one hundred thirteen million, four hundred fifty-seven thousand, nine hundred twenty".