1341100505040 has 320 divisors, whose sum is σ = 4247404339200. Its totient is φ = 349981212672.

The previous prime is 1341100504993. The next prime is 1341100505057. The reversal of 1341100505040 is 405050011431.

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 1341100505040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1386866637 + ... + 1386867603.

It is an arithmetic number, because the mean of its divisors is an integer number (13273138560).

Almost surely, 2^{1341100505040} is an apocalyptic number.

1341100505040 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 1341100505040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2123702169600).

1341100505040 is an abundant number, since it is smaller than the sum of its proper divisors (2906303834160).

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

1341100505040 is a wasteful number, since it uses less digits than its factorization.

1341100505040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 1341100505040 its reverse (405050011431), we get a palindrome (1746150516471).

The spelling of 1341100505040 in words is "one trillion, three hundred forty-one billion, one hundred million, five hundred five thousand, forty".