1353242420442 has 64 divisors (see below), whose sum is σ = 3283146501120. Its totient is φ = 409753609200.

The previous prime is 1353242420399. The next prime is 1353242420443. The reversal of 1353242420442 is 2440242423531.

1353242420442 is a `hidden beast` number, since 1 + 3 + 532 + 42 + 42 + 0 + 4 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1353242420397 and 1353242420406.

It is not an unprimeable number, because it can be changed into a prime (1353242420443) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 125734 + ... + 1649937.

It is an arithmetic number, because the mean of its divisors is an integer number (51299164080).

Almost surely, 2^{1353242420442} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353242420442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641573250560).

1353242420442 is an abundant number, since it is smaller than the sum of its proper divisors (1929904080678).

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

1353242420442 is a wasteful number, since it uses less digits than its factorization.

1353242420442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776976 (or 1776970 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 1353242420442 its reverse (2440242423531), we get a palindrome (3793484843973).

The spelling of 1353242420442 in words is "one trillion, three hundred fifty-three billion, two hundred forty-two million, four hundred twenty thousand, four hundred forty-two".