413545793520 has 320 divisors, whose sum is σ = 1383111475200. Its totient is φ = 101902095360.

The previous prime is 413545793509. The next prime is 413545793527. The reversal of 413545793520 is 25397545314.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 413545793520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413545793527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29893005 + ... + 29906835.

It is an arithmetic number, because the mean of its divisors is an integer number (4322223360).

Almost surely, 2^413545793520 is an apocalyptic number.

413545793520 is a gapful number since it is divisible by the number (40) 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 413545793520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691555737600).

413545793520 is an abundant number, since it is smaller than the sum of its proper divisors (969565681680).

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

413545793520 is a wasteful number, since it uses less digits than its factorization.

413545793520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14028 (or 14022 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 48.

The spelling of 413545793520 in words is "four hundred thirteen billion, five hundred forty-five million, seven hundred ninety-three thousand, five hundred twenty".