413345172064 has 96 divisors (see below), whose sum is σ = 944977622400. Its totient is φ = 175995325440.

The previous prime is 413345172059. The next prime is 413345172091. The reversal of 413345172064 is 460271543314.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248019 + ... + 942445.

It is an arithmetic number, because the mean of its divisors is an integer number (9843516900).

Almost surely, 2^413345172064 is an apocalyptic number.

413345172064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413345172064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472488811200).

413345172064 is an abundant number, since it is smaller than the sum of its proper divisors (531632450336).

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

413345172064 is a wasteful number, since it uses less digits than its factorization.

413345172064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694556 (or 694548 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 413345172064 in words is "four hundred thirteen billion, three hundred forty-five million, one hundred seventy-two thousand, sixty-four".