415611042 has 96 divisors (see below), whose sum is σ = 1066128000. Its totient is φ = 107886240.

The previous prime is 415611029. The next prime is 415611059. The reversal of 415611042 is 240116514.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248184 + ... + 249852.

It is an arithmetic number, because the mean of its divisors is an integer number (11105500).

Almost surely, 2^415611042 is an apocalyptic number.

415611042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 415611042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533064000).

415611042 is an abundant number, since it is smaller than the sum of its proper divisors (650516958).

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

415611042 is a wasteful number, since it uses less digits than its factorization.

415611042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 415611042 is about 20386.5407070449. The cubic root of 415611042 is about 746.2695001484.

Adding to 415611042 its reverse (240116514), we get a palindrome (655727556).

The spelling of 415611042 in words is "four hundred fifteen million, six hundred eleven thousand, forty-two".