415433042304 has 64 divisors (see below), whose sum is σ = 1261136029440. Its totient is φ = 118695154176.

The previous prime is 415433042203. The next prime is 415433042327. The reversal of 415433042304 is 403240334514.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×415433042304² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77272804 + ... + 77278179.

It is an arithmetic number, because the mean of its divisors is an integer number (19705250460).

Almost surely, 2^415433042304 is an apocalyptic number.

It is an amenable number.

415433042304 is an abundant number, since it is smaller than the sum of its proper divisors (845702987136).

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

415433042304 is a wasteful number, since it uses less digits than its factorization.

415433042304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154551007 (or 154550995 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

Adding to 415433042304 its reverse (403240334514), we get a palindrome (818673376818).

The spelling of 415433042304 in words is "four hundred fifteen billion, four hundred thirty-three million, forty-two thousand, three hundred four".