4682003040 has 864 divisors, whose sum is σ = 19872306720. Its totient is φ = 1027952640.

The previous prime is 4682003023. The next prime is 4682003041. The reversal of 4682003040 is 403002864.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4682002995 and 4682003013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4682003041) 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 143 ways as a sum of consecutive naturals, for example, 88339654 + ... + 88339706.

It is an arithmetic number, because the mean of its divisors is an integer number (23000355).

Almost surely, 2^4682003040 is an apocalyptic number.

4682003040 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 4682003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9936153360).

4682003040 is an abundant number, since it is smaller than the sum of its proper divisors (15190303680).

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

4682003040 is a wasteful number, since it uses less digits than its factorization.

4682003040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4682003040 is about 68425.1637922775. The cubic root of 4682003040 is about 1672.9279244462.

The spelling of 4682003040 in words is "four billion, six hundred eighty-two million, three thousand, forty".