1171240331904 has 320 divisors, whose sum is σ = 3693554548200. Its totient is φ = 367156592640.

The previous prime is 1171240331903. The next prime is 1171240331923. The reversal of 1171240331904 is 4091330421711.

It is a happy number.

1171240331904 is a `hidden beast` number, since 11 + 71 + 240 + 331 + 9 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1080186062400 + 91054269504 = 1039320^2 + 301752^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1171240331903) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 368197194 + ... + 368200374.

Almost surely, 2^{1171240331904} 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 1171240331904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846777274100).

1171240331904 is an abundant number, since it is smaller than the sum of its proper divisors (2522314216296).

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

1171240331904 is a wasteful number, since it uses less digits than its factorization.

1171240331904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5313 (or 5292 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 1171240331904 in words is "one trillion, one hundred seventy-one billion, two hundred forty million, three hundred thirty-one thousand, nine hundred four".