1341353040 has 240 divisors, whose sum is σ = 4489587648. Its totient is φ = 331169792.

The previous prime is 1341353033. The next prime is 1341353047. The reversal of 1341353040 is 403531431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1341353033) and next prime (1341353047).

It is a tau number, because it is divible by the number of its divisors (240).

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 1341353040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1341353047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5756764 + ... + 5756996.

Almost surely, 2^1341353040 is an apocalyptic number.

1341353040 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 1341353040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244793824).

1341353040 is an abundant number, since it is smaller than the sum of its proper divisors (3148234608).

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

1341353040 is a wasteful number, since it uses less digits than its factorization.

1341353040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 1341353040 is about 36624.4868906037. The cubic root of 1341353040 is about 1102.8447140677.

Adding to 1341353040 its reverse (403531431), we get a palindrome (1744884471).

The spelling of 1341353040 in words is "one billion, three hundred forty-one million, three hundred fifty-three thousand, forty".