1342944307200 has 288 divisors, whose sum is σ = 4547888916480. Its totient is φ = 349382246400.

The previous prime is 1342944307139. The next prime is 1342944307273. The reversal of 1342944307200 is 27034492431.

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 23 ways as a sum of consecutive naturals, for example, 6190977 + ... + 6404223.

It is an arithmetic number, because the mean of its divisors is an integer number (15791280960).

Almost surely, 2^{1342944307200} is an apocalyptic number.

1342944307200 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 1342944307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273944458240).

1342944307200 is an abundant number, since it is smaller than the sum of its proper divisors (3204944609280).

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

1342944307200 is a wasteful number, since it uses less digits than its factorization.

1342944307200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213323 (or 213298 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

Adding to 1342944307200 its reverse (27034492431), we get a palindrome (1369978799631).

The spelling of 1342944307200 in words is "one trillion, three hundred forty-two billion, nine hundred forty-four million, three hundred seven thousand, two hundred".