4968829440 has 160 divisors (see below), whose sum is σ = 17649941760. Its totient is φ = 1325002752.

The previous prime is 4968829433. The next prime is 4968829469. The reversal of 4968829440 is 449288694.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33177 + ... + 105063.

It is an arithmetic number, because the mean of its divisors is an integer number (110312136).

Almost surely, 2^4968829440 is an apocalyptic number.

4968829440 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 4968829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8824970880).

4968829440 is an abundant number, since it is smaller than the sum of its proper divisors (12681112320).

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

4968829440 is an equidigital number, since it uses as much as digits as its factorization.

4968829440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71919 (or 71897 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 4968829440 is about 70489.9243863972. The cubic root of 4968829440 is about 1706.4151430545.

The spelling of 4968829440 in words is "four billion, nine hundred sixty-eight million, eight hundred twenty-nine thousand, four hundred forty".