1326434144 has 48 divisors (see below), whose sum is σ = 2991437568. Its totient is φ = 567146112.

The previous prime is 1326434143. The next prime is 1326434159. The reversal of 1326434144 is 4414346231.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1326434144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1326434143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92549 + ... + 105915.

It is an arithmetic number, because the mean of its divisors is an integer number (62321616).

Almost surely, 2^1326434144 is an apocalyptic number.

1326434144 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 1326434144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495718784).

1326434144 is an abundant number, since it is smaller than the sum of its proper divisors (1665003424).

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

1326434144 is a wasteful number, since it uses less digits than its factorization.

1326434144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13827 (or 13819 counting only the distinct ones).

The product of its digits is 27648, while the sum is 32.

The square root of 1326434144 is about 36420.2436016016. The cubic root of 1326434144 is about 1098.7407474189.

The spelling of 1326434144 in words is "one billion, three hundred twenty-six million, four hundred thirty-four thousand, one hundred forty-four".