415403516664 has 128 divisors (see below), whose sum is σ = 1194419404800. Its totient is φ = 133664307840.

The previous prime is 415403516659. The next prime is 415403516683. The reversal of 415403516664 is 466615304514.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 810349 + ... + 1219619.

It is an arithmetic number, because the mean of its divisors is an integer number (9331401600).

Almost surely, 2^415403516664 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 415403516664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597209702400).

415403516664 is an abundant number, since it is smaller than the sum of its proper divisors (779015888136).

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

415403516664 is a wasteful number, since it uses less digits than its factorization.

415403516664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409450 (or 409440 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 415403516664 in words is "four hundred fifteen billion, four hundred three million, five hundred sixteen thousand, six hundred sixty-four".