1170000829440 has 1056 divisors, whose sum is σ = 4414445568000. Its totient is φ = 285669457920.

The previous prime is 1170000829429. The next prime is 1170000829483. The reversal of 1170000829440 is 449280000711.

It is a super-3 number, since 3×1170000829440³ (a number of 37 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1170000829395 and 1170000829404.

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 95 ways as a sum of consecutive naturals, for example, 4895400841 + ... + 4895401079.

Almost surely, 2^{1170000829440} is an apocalyptic number.

1170000829440 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 1170000829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207222784000).

1170000829440 is an abundant number, since it is smaller than the sum of its proper divisors (3244444738560).

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

1170000829440 is a wasteful number, since it uses less digits than its factorization.

1170000829440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 1170000829440 in words is "one trillion, one hundred seventy billion, eight hundred twenty-nine thousand, four hundred forty".