1343507971104 has 288 divisors, whose sum is σ = 4296007497600. Its totient is φ = 395172163584.

The previous prime is 1343507971097. The next prime is 1343507971111. The reversal of 1343507971104 is 4011797053431.

1343507971104 is a `hidden beast` number, since 1 + 3 + 43 + 507 + 97 + 1 + 10 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1343507971097) and next prime (1343507971111).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1343507971104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180745372 + ... + 180752804.

It is an arithmetic number, because the mean of its divisors is an integer number (14916692700).

Almost surely, 2^{1343507971104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1343507971104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148003748800).

1343507971104 is an abundant number, since it is smaller than the sum of its proper divisors (2952499526496).

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

1343507971104 is a wasteful number, since it uses less digits than its factorization.

1343507971104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9584 (or 9573 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 1343507971104 in words is "one trillion, three hundred forty-three billion, five hundred seven million, nine hundred seventy-one thousand, one hundred four".