3640042414242 has 96 divisors (see below), whose sum is σ = 8582578612608. Its totient is φ = 1108274462208.

The previous prime is 3640042414171. The next prime is 3640042414297. The reversal of 3640042414242 is 2424142400463.

3640042414242 is a `hidden beast` number, since 3 + 6 + 400 + 4 + 2 + 4 + 1 + 4 + 242 = 666.

3640042414242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3640042414197 and 3640042414206.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31202073 + ... + 31318515.

It is an arithmetic number, because the mean of its divisors is an integer number (89401860548).

Almost surely, 2^{3640042414242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3640042414242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4291289306304).

3640042414242 is an abundant number, since it is smaller than the sum of its proper divisors (4942536198366).

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

3640042414242 is a wasteful number, since it uses less digits than its factorization.

3640042414242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117864 (or 117861 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 3640042414242 in words is "three trillion, six hundred forty billion, forty-two million, four hundred fourteen thousand, two hundred forty-two".