1159941384000 has 2240 divisors, whose sum is σ = 5177143775232. Its totient is φ = 250822656000.

The previous prime is 1159941383983. The next prime is 1159941384067. The reversal of 1159941384000 is 4831499511.

1159941384000 is a `hidden beast` number, since 1 + 1 + 599 + 4 + 13 + 8 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-3 number, since 3×1159941384000³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

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 319 ways as a sum of consecutive naturals, for example, 10264967944 + ... + 10264968056.

Almost surely, 2^{1159941384000} is an apocalyptic number.

1159941384000 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 1159941384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2588571887616).

1159941384000 is an abundant number, since it is smaller than the sum of its proper divisors (4017202391232).

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

1159941384000 is a wasteful number, since it uses less digits than its factorization.

1159941384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 1159941384000 in words is "one trillion, one hundred fifty-nine billion, nine hundred forty-one million, three hundred eighty-four thousand".