1341437680800 has 1296 divisors, whose sum is σ = 5820414032160. Its totient is φ = 289061498880.

The previous prime is 1341437680697. The next prime is 1341437680831. The reversal of 1341437680800 is 80867341431.

1341437680800 is a `hidden beast` number, since 13 + 414 + 3 + 76 + 80 + 80 + 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 (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1964037259 + ... + 1964037941.

It is an arithmetic number, because the mean of its divisors is an integer number (4491060210).

Almost surely, 2^{1341437680800} is an apocalyptic number.

1341437680800 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 1341437680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910207016080).

1341437680800 is an abundant number, since it is smaller than the sum of its proper divisors (4478976351360).

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

1341437680800 is a wasteful number, since it uses less digits than its factorization.

1341437680800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 1341437680800 in words is "one trillion, three hundred forty-one billion, four hundred thirty-seven million, six hundred eighty thousand, eight hundred".