4001424340 has 96 divisors (see below), whose sum is σ = 8763955200. Its totient is φ = 1533603456.

The previous prime is 4001424337. The next prime is 4001424341. The reversal of 4001424340 is 434241004.

4001424340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4001424340² = 32022793497488871200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001424341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17627307 + ... + 17627533.

It is an arithmetic number, because the mean of its divisors is an integer number (91291200).

Almost surely, 2^4001424340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4001424340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4381977600).

4001424340 is an abundant number, since it is smaller than the sum of its proper divisors (4762530860).

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

4001424340 is a wasteful number, since it uses less digits than its factorization.

4001424340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4001424340 is about 63256.8125975377. The cubic root of 4001424340 is about 1587.5894461764.

Adding to 4001424340 its reverse (434241004), we get a palindrome (4435665344).

The spelling of 4001424340 in words is "four billion, one million, four hundred twenty-four thousand, three hundred forty".