1343114123040 has 240 divisors, whose sum is σ = 5018902274232. Its totient is φ = 337095254016.

The previous prime is 1343114123017. The next prime is 1343114123041. The reversal of 1343114123040 is 403214113431.

1343114123040 is a `hidden beast` number, since 1 + 3 + 4 + 311 + 41 + 2 + 304 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1339658094096 + 3456028944 = 1157436^2 + 58788^2 .

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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 1343114122995 and 1343114123013.

It is not an unprimeable number, because it can be changed into a prime (1343114123041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2827779 + ... + 3268418.

Almost surely, 2^{1343114123040} is an apocalyptic number.

1343114123040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1343114123040 is an abundant number, since it is smaller than the sum of its proper divisors (3675788151192).

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

1343114123040 is a wasteful number, since it uses less digits than its factorization.

1343114123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6096241 (or 6096224 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1343114123040 its reverse (403214113431), we get a palindrome (1746328236471).

The spelling of 1343114123040 in words is "one trillion, three hundred forty-three billion, one hundred fourteen million, one hundred twenty-three thousand, forty".