1340845228800 has 1296 divisors, whose sum is σ = 6198629428992. Its totient is φ = 278592307200.

The previous prime is 1340845228771. The next prime is 1340845228841. The reversal of 1340845228800 is 88225480431.

1340845228800 is a `hidden beast` number, since 1 + 3 + 40 + 8 + 4 + 522 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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 143 ways as a sum of consecutive naturals, for example, 119744802 + ... + 119755998.

Almost surely, 2^{1340845228800} is an apocalyptic number.

1340845228800 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 1340845228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3099314714496).

1340845228800 is an abundant number, since it is smaller than the sum of its proper divisors (4857784200192).

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

1340845228800 is a wasteful number, since it uses less digits than its factorization.

1340845228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11256 (or 11225 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 1340845228800 in words is "one trillion, three hundred forty billion, eight hundred forty-five million, two hundred twenty-eight thousand, eight hundred".