413300280098160 has 1440 divisors, whose sum is σ = 1753111855535040. Its totient is φ = 86485937061888.

The previous prime is 413300280098149. The next prime is 413300280098191. The reversal of 413300280098160 is 61890082003314.

413300280098160 is a `hidden beast` number, since 4 + 1 + 3 + 300 + 280 + 0 + 9 + 8 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 89789326419 + ... + 89789331021.

It is an arithmetic number, because the mean of its divisors is an integer number (1217438788566).

Almost surely, 2^{413300280098160} is an apocalyptic number.

413300280098160 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 413300280098160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876555927767520).

413300280098160 is an abundant number, since it is smaller than the sum of its proper divisors (1339811575436880).

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

413300280098160 is a wasteful number, since it uses less digits than its factorization.

413300280098160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6215 (or 6199 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 413300280098160 in words is "four hundred thirteen trillion, three hundred billion, two hundred eighty million, ninety-eight thousand, one hundred sixty".