4935368144000 has 512 divisors, whose sum is σ = 14520909312000. Its totient is φ = 1632448512000.

The previous prime is 4935368143987. The next prime is 4935368144027. The reversal of 4935368144000 is 4418635394.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1211725964 + ... + 1211730036.

It is an arithmetic number, because the mean of its divisors is an integer number (28361151000).

Almost surely, 2^{4935368144000} is an apocalyptic number.

4935368144000 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 4935368144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7260454656000).

4935368144000 is an abundant number, since it is smaller than the sum of its proper divisors (9585541168000).

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

4935368144000 is a wasteful number, since it uses less digits than its factorization.

4935368144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4489 (or 4467 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 47.

The spelling of 4935368144000 in words is "four trillion, nine hundred thirty-five billion, three hundred sixty-eight million, one hundred forty-four thousand".