1344419728956 has 144 divisors (see below), whose sum is σ = 3686590908000. Its totient is φ = 411454181376.

The previous prime is 1344419728937. The next prime is 1344419729021. The reversal of 1344419728956 is 6598279144431.

1344419728956 is a `hidden beast` number, since 1 + 34 + 441 + 9 + 72 + 8 + 95 + 6 = 666.

It is a super-2 number, since 2×1344419728956² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1344419728893 and 1344419728902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21258070 + ... + 21321218.

It is an arithmetic number, because the mean of its divisors is an integer number (25601325750).

Almost surely, 2^{1344419728956} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1344419728956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843295454000).

1344419728956 is an abundant number, since it is smaller than the sum of its proper divisors (2342171179044).

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

1344419728956 is a wasteful number, since it uses less digits than its factorization.

1344419728956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64028 (or 64023 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 1344419728956 in words is "one trillion, three hundred forty-four billion, four hundred nineteen million, seven hundred twenty-eight thousand, nine hundred fifty-six".