1319440000 has 80 divisors (see below), whose sum is σ = 3284862570. Its totient is φ = 527744000.

The previous prime is 1319439937. The next prime is 1319440027. The reversal of 1319440000 is 449131.

It can be written as a sum of positive squares in 5 ways, for example, as 52649536 + 1266790464 = 7256^2 + 35592^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 71754 + ... + 88246.

Almost surely, 2^1319440000 is an apocalyptic number.

1319440000 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 1319440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642431285).

1319440000 is an abundant number, since it is smaller than the sum of its proper divisors (1965422570).

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

1319440000 is an frugal number, since it uses more digits than its factorization.

1319440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16527 (or 16500 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 1319440000 is about 36324.0966852584. The cubic root of 1319440000 is about 1096.8061627025.

Adding to 1319440000 its reverse (449131), we get a palindrome (1319889131).

The spelling of 1319440000 in words is "one billion, three hundred nineteen million, four hundred forty thousand".