1166311440 has 160 divisors (see below), whose sum is σ = 4591253760. Its totient is φ = 266582016.

The previous prime is 1166311423. The next prime is 1166311451. The reversal of 1166311440 is 441136611.

1166311440 is a `hidden beast` number, since 1 + 16 + 631 + 14 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23449 + ... + 53688.

It is an arithmetic number, because the mean of its divisors is an integer number (28695336).

Almost surely, 2^1166311440 is an apocalyptic number.

1166311440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1166311440 is an abundant number, since it is smaller than the sum of its proper divisors (3424942320).

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

1166311440 is a wasteful number, since it uses less digits than its factorization.

1166311440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77166 (or 77154 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1166311440 is about 34151.3021713668. The cubic root of 1166311440 is about 1052.6197440319.

The spelling of 1166311440 in words is "one billion, one hundred sixty-six million, three hundred eleven thousand, four hundred forty".