1178883599040 has 1344 divisors, whose sum is σ = 4963568025600. Its totient is φ = 262550937600.

The previous prime is 1178883599017. The next prime is 1178883599053. The reversal of 1178883599040 is 409953888711.

1178883599040 is a `hidden beast` number, since 11 + 78 + 88 + 359 + 90 + 40 = 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 (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4932567241 + ... + 4932567479.

Almost surely, 2^{1178883599040} is an apocalyptic number.

1178883599040 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 1178883599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2481784012800).

1178883599040 is an abundant number, since it is smaller than the sum of its proper divisors (3784684426560).

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

1178883599040 is a wasteful number, since it uses less digits than its factorization.

1178883599040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 1178883599040 in words is "one trillion, one hundred seventy-eight billion, eight hundred eighty-three million, five hundred ninety-nine thousand, forty".