1319149117440 has 1344 divisors, whose sum is σ = 5954405281920. Its totient is φ = 273985044480.

The previous prime is 1319149117427. The next prime is 1319149117441. The reversal of 1319149117440 is 447119419131.

1319149117440 is a `hidden beast` number, since 1 + 3 + 1 + 91 + 4 + 9 + 117 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1319149117441) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 596089774 + ... + 596091986.

Almost surely, 2^{1319149117440} is an apocalyptic number.

1319149117440 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 1319149117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977202640960).

1319149117440 is an abundant number, since it is smaller than the sum of its proper divisors (4635256164480).

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

1319149117440 is a wasteful number, since it uses less digits than its factorization.

1319149117440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 1319149117440 in words is "one trillion, three hundred nineteen billion, one hundred forty-nine million, one hundred seventeen thousand, four hundred forty".