1319605040 has 80 divisors (see below), whose sum is σ = 3318537600. Its totient is φ = 485108736.

The previous prime is 1319605039. The next prime is 1319605087. The reversal of 1319605040 is 405069131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1319604994 and 1319605012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245906 + ... + 251214.

It is an arithmetic number, because the mean of its divisors is an integer number (41481720).

Almost surely, 2^1319605040 is an apocalyptic number.

1319605040 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 1319605040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659268800).

1319605040 is an abundant number, since it is smaller than the sum of its proper divisors (1998932560).

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

1319605040 is a wasteful number, since it uses less digits than its factorization.

1319605040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5574 (or 5568 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 1319605040 is about 36326.3683844119. The cubic root of 1319605040 is about 1096.8518915324.

The spelling of 1319605040 in words is "one billion, three hundred nineteen million, six hundred five thousand, forty".