415015041 has 16 divisors (see below), whose sum is σ = 635686784. Its totient is φ = 235920384.

The previous prime is 415015039. The next prime is 415015049. The reversal of 415015041 is 140510514.

It is not a de Polignac number, because 415015041 - 2¹ = 415015039 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 415014999 and 415015017.

It is not an unprimeable number, because it can be changed into a prime (415015049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47146 + ... + 55251.

It is an arithmetic number, because the mean of its divisors is an integer number (39730424).

Almost surely, 2^415015041 is an apocalyptic number.

It is an amenable number.

415015041 is a deficient number, since it is larger than the sum of its proper divisors (220671743).

415015041 is a wasteful number, since it uses less digits than its factorization.

415015041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102600.

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 415015041 is about 20371.9179509441. The cubic root of 415015041 is about 745.9126038345.

Adding to 415015041 its reverse (140510514), we get a palindrome (555525555).

It can be divided in two parts, 4150 and 15041, that added together give a palindrome (19191).

The spelling of 415015041 in words is "four hundred fifteen million, fifteen thousand, forty-one".