1341110142240 has 384 divisors, whose sum is σ = 4660158230784. Its totient is φ = 321484800000.

The previous prime is 1341110142233. The next prime is 1341110142241. The reversal of 1341110142240 is 422410111431.

It is a happy number.

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 1341110142240.

It is not an unprimeable number, because it can be changed into a prime (1341110142241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 693796314 + ... + 693798246.

It is an arithmetic number, because the mean of its divisors is an integer number (12135828726).

Almost surely, 2^{1341110142240} is an apocalyptic number.

1341110142240 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 1341110142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2330079115392).

1341110142240 is an abundant number, since it is smaller than the sum of its proper divisors (3319048088544).

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

1341110142240 is a wasteful number, since it uses less digits than its factorization.

1341110142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3364 (or 3356 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1341110142240 its reverse (422410111431), we get a palindrome (1763520253671).

The spelling of 1341110142240 in words is "one trillion, three hundred forty-one billion, one hundred ten million, one hundred forty-two thousand, two hundred forty".