1344479760624 has 320 divisors, whose sum is σ = 4824181232640. Its totient is φ = 311236853760.

The previous prime is 1344479760587. The next prime is 1344479760643. The reversal of 1344479760624 is 4260679744431.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 910944 + ... + 1875840.

It is an arithmetic number, because the mean of its divisors is an integer number (15075566352).

Almost surely, 2^{1344479760624} is an apocalyptic number.

1344479760624 is a gapful number since it is divisible by the number (14) 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 1344479760624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412090616320).

1344479760624 is an abundant number, since it is smaller than the sum of its proper divisors (3479701472016).

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

1344479760624 is a wasteful number, since it uses less digits than its factorization.

1344479760624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964968 (or 964962 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 57.

The spelling of 1344479760624 in words is "one trillion, three hundred forty-four billion, four hundred seventy-nine million, seven hundred sixty thousand, six hundred twenty-four".