4948978617120 has 384 divisors, whose sum is σ = 16441425100800. Its totient is φ = 1249571082240.

The previous prime is 4948978617109. The next prime is 4948978617127. The reversal of 4948978617120 is 217168798494.

It is not an unprimeable number, because it can be changed into a prime (4948978617127) 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, 289422331 + ... + 289439429.

It is an arithmetic number, because the mean of its divisors is an integer number (42816211200).

Almost surely, 2^{4948978617120} is an apocalyptic number.

4948978617120 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 4948978617120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8220712550400).

4948978617120 is an abundant number, since it is smaller than the sum of its proper divisors (11492446483680).

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

4948978617120 is a wasteful number, since it uses less digits than its factorization.

4948978617120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17568 (or 17560 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 66.

The spelling of 4948978617120 in words is "four trillion, nine hundred forty-eight billion, nine hundred seventy-eight million, six hundred seventeen thousand, one hundred twenty".