4115414142337 has 16 divisors (see below), whose sum is σ = 4222203148800. Its totient is φ = 4010225955840.

The previous prime is 4115414142313. The next prime is 4115414142401. The reversal of 4115414142337 is 7332414145114.

4115414142337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 4115414142337 - 2⁷ = 4115414142209 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4115414142337.

It is not an unprimeable number, because it can be changed into a prime (4115414142937) 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, 2003037 + ... + 3498997.

It is an arithmetic number, because the mean of its divisors is an integer number (263887696800).

Almost surely, 2^{4115414142337} is an apocalyptic number.

It is an amenable number.

4115414142337 is a deficient number, since it is larger than the sum of its proper divisors (106789006463).

4115414142337 is a wasteful number, since it uses less digits than its factorization.

4115414142337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496496.

The product of its digits is 161280, while the sum is 40.

The spelling of 4115414142337 in words is "four trillion, one hundred fifteen billion, four hundred fourteen million, one hundred forty-two thousand, three hundred thirty-seven".