4829423040 has 896 divisors, whose sum is σ = 20209459200. Its totient is φ = 1074954240.

The previous prime is 4829423029. The next prime is 4829423051. The reversal of 4829423040 is 403249284.

It is an interprime number because it is at equal distance from previous prime (4829423029) and next prime (4829423051).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4829422986 and 4829423004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66156444 + ... + 66156516.

It is an arithmetic number, because the mean of its divisors is an integer number (22555200).

Almost surely, 2^4829423040 is an apocalyptic number.

4829423040 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 4829423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10104729600).

4829423040 is an abundant number, since it is smaller than the sum of its proper divisors (15380036160).

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

4829423040 is a wasteful number, since it uses less digits than its factorization.

4829423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4829423040 is about 69494.0503928214. The cubic root of 4829423040 is about 1690.3050276308.

The spelling of 4829423040 in words is "four billion, eight hundred twenty-nine million, four hundred twenty-three thousand, forty".