1341567121440 has 384 divisors, whose sum is σ = 5427293663232. Its totient is φ = 270748938240.

The previous prime is 1341567121393. The next prime is 1341567121481. The reversal of 1341567121440 is 441217651431.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 63 ways as a sum of consecutive naturals, for example, 336955 + ... + 1672325.

It is an arithmetic number, because the mean of its divisors is an integer number (14133577248).

Almost surely, 2^{1341567121440} is an apocalyptic number.

1341567121440 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 1341567121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2713646831616).

1341567121440 is an abundant number, since it is smaller than the sum of its proper divisors (4085726541792).

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

1341567121440 is a wasteful number, since it uses less digits than its factorization.

1341567121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335432 (or 1335424 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 1341567121440 in words is "one trillion, three hundred forty-one billion, five hundred sixty-seven million, one hundred twenty-one thousand, four hundred forty".