1353120240 has 80 divisors (see below), whose sum is σ = 4330008576. Its totient is φ = 349190400.

The previous prime is 1353120227. The next prime is 1353120257. The reversal of 1353120240 is 420213531.

1353120240 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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, 83496 + ... + 98375.

Almost surely, 2^1353120240 is an apocalyptic number.

1353120240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353120240 is an abundant number, since it is smaller than the sum of its proper divisors (2976888336).

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

1353120240 is a wasteful number, since it uses less digits than its factorization.

1353120240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181918 (or 181912 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1353120240 is about 36784.7827232947. The cubic root of 1353120240 is about 1106.0602805300.

Adding to 1353120240 its reverse (420213531), we get a palindrome (1773333771).

The spelling of 1353120240 in words is "one billion, three hundred fifty-three million, one hundred twenty thousand, two hundred forty".