1353344020240 has 40 divisors (see below), whose sum is σ = 3149524589400. Its totient is φ = 540821523456.

The previous prime is 1353344020183. The next prime is 1353344020241. The reversal of 1353344020240 is 420204433531.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 466499928064 + 886844092176 = 683008^2 + 941724^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (1353344020241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7979379 + ... + 8147218.

It is an arithmetic number, because the mean of its divisors is an integer number (78738114735).

Almost surely, 2^{1353344020240} is an apocalyptic number.

1353344020240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353344020240 is an abundant number, since it is smaller than the sum of its proper divisors (1796180569160).

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

1353344020240 is a wasteful number, since it uses less digits than its factorization.

1353344020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16127659 (or 16127653 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 1353344020240 its reverse (420204433531), we get a palindrome (1773548453771).

The spelling of 1353344020240 in words is "one trillion, three hundred fifty-three billion, three hundred forty-four million, twenty thousand, two hundred forty".