1166949685440 has 1344 divisors, whose sum is σ = 5357844430848. Its totient is φ = 234623692800.

The previous prime is 1166949685403. The next prime is 1166949685441. The reversal of 1166949685440 is 445869496611.

It is a happy number.

1166949685440 is a `hidden beast` number, since 1 + 1 + 6 + 69 + 496 + 85 + 4 + 4 + 0 = 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 not an unprimeable number, because it can be changed into a prime (1166949685441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 185609977 + ... + 185616263.

It is an arithmetic number, because the mean of its divisors is an integer number (3986491392).

Almost surely, 2^{1166949685440} is an apocalyptic number.

1166949685440 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 1166949685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678922215424).

1166949685440 is an abundant number, since it is smaller than the sum of its proper divisors (4190894745408).

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

1166949685440 is a wasteful number, since it uses less digits than its factorization.

1166949685440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6368 (or 6346 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 1166949685440 in words is "one trillion, one hundred sixty-six billion, nine hundred forty-nine million, six hundred eighty-five thousand, four hundred forty".