1319740748928 has 288 divisors, whose sum is σ = 4420574259660. Its totient is φ = 376825430016.

The previous prime is 1319740748917. The next prime is 1319740748947. The reversal of 1319740748928 is 8298470479131.

1319740748928 is a `hidden beast` number, since 1 + 3 + 1 + 97 + 40 + 7 + 489 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1098622615104 + 221118133824 = 1048152^2 + 470232^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 98946676 + ... + 98960012.

Almost surely, 2^{1319740748928} is an apocalyptic number.

1319740748928 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 1319740748928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210287129830).

1319740748928 is an abundant number, since it is smaller than the sum of its proper divisors (3100833510732).

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

1319740748928 is a wasteful number, since it uses less digits than its factorization.

1319740748928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15124 (or 15102 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 1319740748928 in words is "one trillion, three hundred nineteen billion, seven hundred forty million, seven hundred forty-eight thousand, nine hundred twenty-eight".