415740516464 has 360 divisors, whose sum is σ = 1049226251472. Its totient is φ = 158958858240.

The previous prime is 415740516427. The next prime is 415740516473. The reversal of 415740516464 is 464615047514.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 512626619 + ... + 512627429.

Almost surely, 2^415740516464 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 415740516464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524613125736).

415740516464 is an abundant number, since it is smaller than the sum of its proper divisors (633485735008).

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

415740516464 is a wasteful number, since it uses less digits than its factorization.

415740516464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 47.

The spelling of 415740516464 in words is "four hundred fifteen billion, seven hundred forty million, five hundred sixteen thousand, four hundred sixty-four".