1403328144 has 80 divisors (see below), whose sum is σ = 3862252800. Its totient is φ = 437793408.

The previous prime is 1403328139. The next prime is 1403328167. The reversal of 1403328144 is 4418233041.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66427 + ... + 84965.

It is an arithmetic number, because the mean of its divisors is an integer number (48278160).

Almost surely, 2^1403328144 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 1403328144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931126400).

1403328144 is an abundant number, since it is smaller than the sum of its proper divisors (2458924656).

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

1403328144 is a wasteful number, since it uses less digits than its factorization.

1403328144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18652 (or 18646 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 1403328144 is about 37461.0216625228. The cubic root of 1403328144 is about 1119.5747067227.

The spelling of 1403328144 in words is "one billion, four hundred three million, three hundred twenty-eight thousand, one hundred forty-four".