4003142320 has 80 divisors (see below), whose sum is σ = 9867761280. Its totient is φ = 1505083392.

The previous prime is 4003142317. The next prime is 4003142321. The reversal of 4003142320 is 232413004.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4003142321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1411624 + ... + 1414456.

It is an arithmetic number, because the mean of its divisors is an integer number (123347016).

Almost surely, 2^4003142320 is an apocalyptic number.

4003142320 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 4003142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4933880640).

4003142320 is an abundant number, since it is smaller than the sum of its proper divisors (5864618960).

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

4003142320 is a wasteful number, since it uses less digits than its factorization.

4003142320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3902 (or 3896 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 4003142320 is about 63270.3905472378. The cubic root of 4003142320 is about 1587.8166200060.

Adding to 4003142320 its reverse (232413004), we get a palindrome (4235555324).

The spelling of 4003142320 in words is "four billion, three million, one hundred forty-two thousand, three hundred twenty".