1344749429100 has 864 divisors, whose sum is σ = 5020694654976. Its totient is φ = 274765478400.

The previous prime is 1344749429099. The next prime is 1344749429141. The reversal of 1344749429100 is 19249474431.

It is a self number, because there is not a number n which added to its sum of digits gives 1344749429100.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4380291147 + ... + 4380291453.

It is an arithmetic number, because the mean of its divisors is an integer number (5810989184).

Almost surely, 2^{1344749429100} is an apocalyptic number.

1344749429100 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 1344749429100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510347327488).

1344749429100 is an abundant number, since it is smaller than the sum of its proper divisors (3675945225876).

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

1344749429100 is a wasteful number, since it uses less digits than its factorization.

1344749429100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 1344749429100 in words is "one trillion, three hundred forty-four billion, seven hundred forty-nine million, four hundred twenty-nine thousand, one hundred".