4938701328960 has 1344 divisors, whose sum is σ = 19934930082816. Its totient is φ = 1028751360000.

The previous prime is 4938701328907. The next prime is 4938701328961. The reversal of 4938701328960 is 698231078394.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 4938701328894 and 4938701328903.

It is not an unprimeable number, because it can be changed into a prime (4938701328961) 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 191 ways as a sum of consecutive naturals, for example, 3796080310 + ... + 3796081610.

It is an arithmetic number, because the mean of its divisors is an integer number (14832537264).

Almost surely, 2^{4938701328960} is an apocalyptic number.

4938701328960 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 4938701328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9967465041408).

4938701328960 is an abundant number, since it is smaller than the sum of its proper divisors (14996228753856).

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

4938701328960 is a wasteful number, since it uses less digits than its factorization.

4938701328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 60.

The spelling of 4938701328960 in words is "four trillion, nine hundred thirty-eight billion, seven hundred one million, three hundred twenty-eight thousand, nine hundred sixty".