4001413340 has 48 divisors (see below), whose sum is σ = 8606261664. Its totient is φ = 1562246400.

The previous prime is 4001413337. The next prime is 4001413343. The reversal of 4001413340 is 433141004.

It is a happy number.

4001413340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4001413337) and next prime (4001413343).

It is a super-2 number, since 2×4001413340² = 32022617435059911200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001413343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147302 + ... + 172338.

It is an arithmetic number, because the mean of its divisors is an integer number (179297118).

Almost surely, 2^4001413340 is an apocalyptic number.

It is an amenable number.

4001413340 is an abundant number, since it is smaller than the sum of its proper divisors (4604848324).

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

4001413340 is a wasteful number, since it uses less digits than its factorization.

4001413340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25238 (or 25236 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4001413340 is about 63256.7256503212. The cubic root of 4001413340 is about 1587.5879914027.

Adding to 4001413340 its reverse (433141004), we get a palindrome (4434554344).

The spelling of 4001413340 in words is "four billion, one million, four hundred thirteen thousand, three hundred forty".