1341412315040 has 192 divisors, whose sum is σ = 3813614058240. Its totient is φ = 435572121600.

The previous prime is 1341412315037. The next prime is 1341412315051. The reversal of 1341412315040 is 405132141431.

It is a super-3 number, since 3×1341412315040³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1341412314994 and 1341412315012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87091340 + ... + 87106740.

It is an arithmetic number, because the mean of its divisors is an integer number (19862573220).

Almost surely, 2^{1341412315040} is an apocalyptic number.

1341412315040 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 1341412315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906807029120).

1341412315040 is an abundant number, since it is smaller than the sum of its proper divisors (2472201743200).

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

1341412315040 is a wasteful number, since it uses less digits than its factorization.

1341412315040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19535 (or 19527 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 1341412315040 its reverse (405132141431), we get a palindrome (1746544456471).

The spelling of 1341412315040 in words is "one trillion, three hundred forty-one billion, four hundred twelve million, three hundred fifteen thousand, forty".