1344404142312 has 128 divisors (see below), whose sum is σ = 4334845593600. Its totient is φ = 337154630400.

The previous prime is 1344404142311. The next prime is 1344404142317. The reversal of 1344404142312 is 2132414044431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1344404142311) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12489364 + ... + 12596547.

It is an arithmetic number, because the mean of its divisors is an integer number (33865981200).

Almost surely, 2^{1344404142312} is an apocalyptic number.

1344404142312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1344404142312 is an abundant number, since it is smaller than the sum of its proper divisors (2990441451288).

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

1344404142312 is a wasteful number, since it uses less digits than its factorization.

1344404142312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25085967 (or 25085963 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 1344404142312 its reverse (2132414044431), we get a palindrome (3476818186743).

The spelling of 1344404142312 in words is "one trillion, three hundred forty-four billion, four hundred four million, one hundred forty-two thousand, three hundred twelve".