1319199503328 has 768 divisors, whose sum is σ = 4845522124800. Its totient is φ = 340491755520.

The previous prime is 1319199503249. The next prime is 1319199503341. The reversal of 1319199503328 is 8233059919131.

1319199503328 is a `hidden beast` number, since 1 + 3 + 19 + 1 + 99 + 503 + 32 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 404784963 + ... + 404788221.

It is an arithmetic number, because the mean of its divisors is an integer number (6309273600).

Almost surely, 2^{1319199503328} is an apocalyptic number.

1319199503328 is a gapful number since it is divisible by the number (18) 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 1319199503328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2422761062400).

1319199503328 is an abundant number, since it is smaller than the sum of its proper divisors (3526322621472).

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

1319199503328 is a wasteful number, since it uses less digits than its factorization.

1319199503328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3460 (or 3446 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 1319199503328 in words is "one trillion, three hundred nineteen billion, one hundred ninety-nine million, five hundred three thousand, three hundred twenty-eight".