1341970882560 has 2688 divisors, whose sum is σ = 6430180184064. Its totient is φ = 259900047360.

The previous prime is 1341970882541. The next prime is 1341970882561. The reversal of 1341970882560 is 652880791431.

1341970882560 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 9 + 70 + 8 + 8 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1341970882497 and 1341970882506.

It is not an unprimeable number, because it can be changed into a prime (1341970882561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13028843469 + ... + 13028843571.

It is an arithmetic number, because the mean of its divisors is an integer number (2392180128).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1341970882560 = 2683941765120, but 3⋅1341970882560 = 4025912647680 is not.

Almost surely, 2^{1341970882560} is an apocalyptic number.

1341970882560 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 1341970882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3215090092032).

1341970882560 is an abundant number, since it is smaller than the sum of its proper divisors (5088209301504).

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

1341970882560 is a wasteful number, since it uses less digits than its factorization.

1341970882560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

1341970882560 divided by its product of nonzero digits (2903040) gives a palindrome (462264).

The spelling of 1341970882560 in words is "one trillion, three hundred forty-one billion, nine hundred seventy million, eight hundred eighty-two thousand, five hundred sixty".