1343127056040 has 512 divisors, whose sum is σ = 5588269056000. Its totient is φ = 278769254400.

The previous prime is 1343127055969. The next prime is 1343127056077. The reversal of 1343127056040 is 406507213431.

1343127056040 is a `hidden beast` number, since 1 + 3 + 4 + 31 + 27 + 0 + 560 + 40 = 666.

It is a super-3 number, since 3×1343127056040³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1343127055986 and 1343127056004.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 75749896 + ... + 75767624.

It is an arithmetic number, because the mean of its divisors is an integer number (10914588000).

Almost surely, 2^{1343127056040} is an apocalyptic number.

1343127056040 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 1343127056040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794134528000).

1343127056040 is an abundant number, since it is smaller than the sum of its proper divisors (4245141999960).

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

1343127056040 is a wasteful number, since it uses less digits than its factorization.

1343127056040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18678 (or 18668 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 1343127056040 in words is "one trillion, three hundred forty-three billion, one hundred twenty-seven million, fifty-six thousand, forty".