4948131840 has 128 divisors (see below), whose sum is σ = 15835353120. Its totient is φ = 1319370752.

The previous prime is 4948131833. The next prime is 4948131871. The reversal of 4948131840 is 481318494.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 4948131792 and 4948131801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 486487 + ... + 496553.

Almost surely, 2^4948131840 is an apocalyptic number.

4948131840 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 4948131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7917676560).

4948131840 is an abundant number, since it is smaller than the sum of its proper divisors (10887221280).

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

4948131840 is an equidigital number, since it uses as much as digits as its factorization.

4948131840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10105 (or 10077 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 4948131840 is about 70342.9587094544. The cubic root of 4948131840 is about 1704.0424949177.

The spelling of 4948131840 in words is "four billion, nine hundred forty-eight million, one hundred thirty-one thousand, eight hundred forty".