415054034304 has 384 divisors, whose sum is σ = 1383520370400. Its totient is φ = 109276102656.

The previous prime is 415054034303. The next prime is 415054034309. The reversal of 415054034304 is 403430450514.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415054034303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194951512 + ... + 194953640.

Almost surely, 2^415054034304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415054034304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691760185200).

415054034304 is an abundant number, since it is smaller than the sum of its proper divisors (968466336096).

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

415054034304 is a wasteful number, since it uses less digits than its factorization.

415054034304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2970 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 415054034304 its reverse (403430450514), we get a palindrome (818484484818).

The spelling of 415054034304 in words is "four hundred fifteen billion, fifty-four million, thirty-four thousand, three hundred four".