1353114240 has 64 divisors (see below), whose sum is σ = 4313057760. Its totient is φ = 360829952.

The previous prime is 1353114233. The next prime is 1353114247. The reversal of 1353114240 is 424113531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1353114233) and next prime (1353114247).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1353114240.

It is not an unprimeable number, because it can be changed into a prime (1353114247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 350454 + ... + 354293.

Almost surely, 2^1353114240 is an apocalyptic number.

1353114240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353114240 is an abundant number, since it is smaller than the sum of its proper divisors (2959943520).

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

1353114240 is an equidigital number, since it uses as much as digits as its factorization.

1353114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704769 (or 704757 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1353114240 is about 36784.7011677409. The cubic root of 1353114240 is about 1106.0586456983.

Adding to 1353114240 its reverse (424113531), we get a palindrome (1777227771).

The spelling of 1353114240 in words is "one billion, three hundred fifty-three million, one hundred fourteen thousand, two hundred forty".