4001413337 has 2 divisors, whose sum is σ = 4001413338. Its totient is φ = 4001413336.

The previous prime is 4001413333. The next prime is 4001413343. The reversal of 4001413337 is 7333141004.

4001413337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3627532441 + 373880896 = 60229^2 + 19336^2 .

It is a cyclic number.

It is not a de Polignac number, because 4001413337 - 2² = 4001413333 is a prime.

It is a super-2 number, since 2×4001413337² = 32022617387042951138, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4001413333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2000706668 + 2000706669.

It is an arithmetic number, because the mean of its divisors is an integer number (2000706669).

Almost surely, 2^4001413337 is an apocalyptic number.

It is an amenable number.

4001413337 is a deficient number, since it is larger than the sum of its proper divisors (1).

4001413337 is an equidigital number, since it uses as much as digits as its factorization.

4001413337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 4001413337 is about 63256.7256266083. The cubic root of 4001413337 is about 1587.5879910060.

The spelling of 4001413337 in words is "four billion, one million, four hundred thirteen thousand, three hundred thirty-seven".