4869431424 has 512 divisors, whose sum is σ = 17273088000. Its totient is φ = 1330974720.

The previous prime is 4869431419. The next prime is 4869431429. The reversal of 4869431424 is 4241349684.

It is an interprime number because it is at equal distance from previous prime (4869431419) and next prime (4869431429).

It is a super-2 number, since 2×4869431424² = 47422724786077335552, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4869431424.

It is not an unprimeable number, because it can be changed into a prime (4869431429) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 29158189 + ... + 29158355.

It is an arithmetic number, because the mean of its divisors is an integer number (33736500).

Almost surely, 2^4869431424 is an apocalyptic number.

4869431424 is a gapful number since it is divisible by the number (44) 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 4869431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8636544000).

4869431424 is an abundant number, since it is smaller than the sum of its proper divisors (12403656576).

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

4869431424 is a wasteful number, since it uses less digits than its factorization.

4869431424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 255 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 4869431424 is about 69781.3114236183. The cubic root of 4869431424 is about 1694.9598612157.

The spelling of 4869431424 in words is "four billion, eight hundred sixty-nine million, four hundred thirty-one thousand, four hundred twenty-four".