1343050133040 has 1920 divisors, whose sum is σ = 6099833585664. Its totient is φ = 266499072000.

The previous prime is 1343050133039. The next prime is 1343050133053. The reversal of 1343050133040 is 403310503431.

1343050133040 is a `hidden beast` number, since 1 + 343 + 0 + 5 + 0 + 13 + 304 + 0 = 666.

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 = 1343050132995 and 1343050133013.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 4779537700 + ... + 4779537980.

Almost surely, 2^{1343050133040} is an apocalyptic number.

1343050133040 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 1343050133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049916792832).

1343050133040 is an abundant number, since it is smaller than the sum of its proper divisors (4756783452624).

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

1343050133040 is a wasteful number, since it uses less digits than its factorization.

1343050133040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 1343050133040 its reverse (403310503431), we get a palindrome (1746360636471).

The spelling of 1343050133040 in words is "one trillion, three hundred forty-three billion, fifty million, one hundred thirty-three thousand, forty".