413205853249280 has 576 divisors, whose sum is σ = 1241641628559360. Its totient is φ = 128254283808768.

The previous prime is 413205853249271. The next prime is 413205853249309. The reversal of 413205853249280 is 82942358502314.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17304140381 + ... + 17304164259.

It is an arithmetic number, because the mean of its divisors is an integer number (2155627827360).

Almost surely, 2^{413205853249280} is an apocalyptic number.

413205853249280 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 413205853249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620820814279680).

413205853249280 is an abundant number, since it is smaller than the sum of its proper divisors (828435775310080).

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

413205853249280 is a wasteful number, since it uses less digits than its factorization.

413205853249280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26776 (or 26762 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 56.

The spelling of 413205853249280 in words is "four hundred thirteen trillion, two hundred five billion, eight hundred fifty-three million, two hundred forty-nine thousand, two hundred eighty".