1171434839040 has 792 divisors, whose sum is σ = 4328028924720. Its totient is φ = 300471091200.

The previous prime is 1171434838913. The next prime is 1171434839051. The reversal of 1171434839040 is 409384341711.

It is a happy number.

1171434839040 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 43 + 483 + 90 + 40 = 666.

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 71 ways as a sum of consecutive naturals, for example, 16499082205 + ... + 16499082275.

Almost surely, 2^{1171434839040} is an apocalyptic number.

1171434839040 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 1171434839040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164014462360).

1171434839040 is an abundant number, since it is smaller than the sum of its proper divisors (3156594085680).

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

1171434839040 is an frugal number, since it uses more digits than its factorization.

1171434839040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1171434839040 in words is "one trillion, one hundred seventy-one billion, four hundred thirty-four million, eight hundred thirty-nine thousand, forty".