4944258158400 has 2016 divisors, whose sum is σ = 21897049749120. Its totient is φ = 1042219008000.

The previous prime is 4944258158369. The next prime is 4944258158407. The reversal of 4944258158400 is 48518524494.

4944258158400 is a `hidden beast` number, since 4 + 9 + 4 + 4 + 2 + 58 + 1 + 584 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4944258158407) 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, 2097690022 + ... + 2097692378.

It is an arithmetic number, because the mean of its divisors is an integer number (10861631820).

Almost surely, 2^{4944258158400} is an apocalyptic number.

4944258158400 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 4944258158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10948524874560).

4944258158400 is an abundant number, since it is smaller than the sum of its proper divisors (16952791590720).

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

4944258158400 is a wasteful number, since it uses less digits than its factorization.

4944258158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2473 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 4944258158400 in words is "four trillion, nine hundred forty-four billion, two hundred fifty-eight million, one hundred fifty-eight thousand, four hundred".