1319398080 has 448 divisors, whose sum is σ = 5628607488. Its totient is φ = 252887040.

The previous prime is 1319398001. The next prime is 1319398109. The reversal of 1319398080 is 808939131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×1319398080² = 3481622587015372800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 960274 + ... + 961646.

It is an arithmetic number, because the mean of its divisors is an integer number (12563856).

Almost surely, 2^1319398080 is an apocalyptic number.

1319398080 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 1319398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2814303744).

1319398080 is an abundant number, since it is smaller than the sum of its proper divisors (4309209408).

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

1319398080 is a wasteful number, since it uses less digits than its factorization.

1319398080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 1319398080 is about 36323.5196532495. The cubic root of 1319398080 is about 1096.7945470167.

The spelling of 1319398080 in words is "one billion, three hundred nineteen million, three hundred ninety-eight thousand, eighty".