4024320040 has 128 divisors (see below), whose sum is σ = 9951782400. Its totient is φ = 1455667200.

The previous prime is 4024320017. The next prime is 4024320067. The reversal of 4024320040 is 400234204.

4024320040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6695740 + ... + 6696340.

It is an arithmetic number, because the mean of its divisors is an integer number (77748300).

Almost surely, 2^4024320040 is an apocalyptic number.

4024320040 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 4024320040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4975891200).

4024320040 is an abundant number, since it is smaller than the sum of its proper divisors (5927462360).

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

4024320040 is a wasteful number, since it uses less digits than its factorization.

4024320040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 4024320040 is about 63437.5286403876. The cubic root of 4024320040 is about 1590.6116919155.

Adding to 4024320040 its reverse (400234204), we get a palindrome (4424554244).

The spelling of 4024320040 in words is "four billion, twenty-four million, three hundred twenty thousand, forty".