1341444358800 has 960 divisors, whose sum is σ = 5909616760320. Its totient is φ = 281428992000.

The previous prime is 1341444358759. The next prime is 1341444358819. The reversal of 1341444358800 is 88534441431.

1341444358800 is a `hidden beast` number, since 13 + 4 + 14 + 4 + 43 + 588 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 177883030 + ... + 177890570.

It is an arithmetic number, because the mean of its divisors is an integer number (6155850792).

Almost surely, 2^{1341444358800} is an apocalyptic number.

1341444358800 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 1341444358800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2954808380160).

1341444358800 is an abundant number, since it is smaller than the sum of its proper divisors (4568172401520).

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

1341444358800 is a wasteful number, since it uses less digits than its factorization.

1341444358800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7769 (or 7752 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

It can be divided in two parts, 134144 and 4358800, that added together give a palindrome (4492944).

The spelling of 1341444358800 in words is "one trillion, three hundred forty-one billion, four hundred forty-four million, three hundred fifty-eight thousand, eight hundred".