413780567238 has 128 divisors (see below), whose sum is σ = 980302780800. Its totient is φ = 129124025856.

The previous prime is 413780567147. The next prime is 413780567251. The reversal of 413780567238 is 832765087314.

It is a happy number.

413780567238 is a `hidden beast` number, since 4 + 1 + 3 + 78 + 0 + 567 + 2 + 3 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16964820 + ... + 16989192.

It is an arithmetic number, because the mean of its divisors is an integer number (7658615475).

Almost surely, 2^413780567238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413780567238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490151390400).

413780567238 is an abundant number, since it is smaller than the sum of its proper divisors (566522213562).

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

413780567238 is a wasteful number, since it uses less digits than its factorization.

413780567238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24743 (or 24737 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 413780567238 in words is "four hundred thirteen billion, seven hundred eighty million, five hundred sixty-seven thousand, two hundred thirty-eight".