4824314880 has 352 divisors, whose sum is σ = 19242455040. Its totient is φ = 1002209280.

The previous prime is 4824314879. The next prime is 4824314881. The reversal of 4824314880 is 884134284.

It is an interprime number because it is at equal distance from previous prime (4824314879) and next prime (4824314881).

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×4824314880² = 46548028122778828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4824314881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1180681 + ... + 1184759.

Almost surely, 2^4824314880 is an apocalyptic number.

4824314880 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 4824314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9621227520).

4824314880 is an abundant number, since it is smaller than the sum of its proper divisors (14418140160).

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

4824314880 is a wasteful number, since it uses less digits than its factorization.

4824314880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4125 (or 4107 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 4824314880 is about 69457.2881705009. The cubic root of 4824314880 is about 1689.7088629352.

The spelling of 4824314880 in words is "four billion, eight hundred twenty-four million, three hundred fourteen thousand, eight hundred eighty".