1353510442240 has 144 divisors (see below), whose sum is σ = 3571156907136. Its totient is φ = 487406592000.

The previous prime is 1353510442223. The next prime is 1353510442261. The reversal of 1353510442240 is 422440153531.

It is a junction number, because it is equal to n+sod(n) for n = 1353510442196 and 1353510442205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 983590 + ... + 1916890.

It is an arithmetic number, because the mean of its divisors is an integer number (24799700744).

Almost surely, 2^{1353510442240} is an apocalyptic number.

1353510442240 is a gapful number since it is divisible by the number (10) 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 1353510442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785578453568).

1353510442240 is an abundant number, since it is smaller than the sum of its proper divisors (2217646464896).

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

1353510442240 is a wasteful number, since it uses less digits than its factorization.

1353510442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933436 (or 933422 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 1353510442240 its reverse (422440153531), we get a palindrome (1775950595771).

The spelling of 1353510442240 in words is "one trillion, three hundred fifty-three billion, five hundred ten million, four hundred forty-two thousand, two hundred forty".