413242093764 has 144 divisors (see below), whose sum is σ = 1092419328000. Its totient is φ = 136589102496.

The previous prime is 413242093763. The next prime is 413242093783. The reversal of 413242093764 is 467390242314.

413242093764 is a `hidden beast` number, since 4 + 132 + 420 + 9 + 37 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (413242093763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59378917 + ... + 59385875.

Almost surely, 2^413242093764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413242093764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546209664000).

413242093764 is an abundant number, since it is smaller than the sum of its proper divisors (679177234236).

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

413242093764 is a wasteful number, since it uses less digits than its factorization.

413242093764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7484 (or 7470 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 413242093764 in words is "four hundred thirteen billion, two hundred forty-two million, ninety-three thousand, seven hundred sixty-four".