1180209265344 has 448 divisors, whose sum is σ = 3894799749120. Its totient is φ = 348623585280.

The previous prime is 1180209265309. The next prime is 1180209265393. The reversal of 1180209265344 is 4435629020811.

1180209265344 is a `hidden beast` number, since 1 + 1 + 8 + 0 + 20 + 92 + 6 + 534 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1180209265344.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33676759 + ... + 33711785.

It is an arithmetic number, because the mean of its divisors is an integer number (8693749440).

Almost surely, 2^{1180209265344} 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 1180209265344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947399874560).

1180209265344 is an abundant number, since it is smaller than the sum of its proper divisors (2714590483776).

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

1180209265344 is a wasteful number, since it uses less digits than its factorization.

1180209265344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35133 (or 35117 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1180209265344 in words is "one trillion, one hundred eighty billion, two hundred nine million, two hundred sixty-five thousand, three hundred forty-four".