1164029440 has 160 divisors (see below), whose sum is σ = 3378158784. Its totient is φ = 375521280.

The previous prime is 1164029437. The next prime is 1164029453. The reversal of 1164029440 is 449204611.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302730 + ... + 306550.

Almost surely, 2^1164029440 is an apocalyptic number.

1164029440 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 1164029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689079392).

1164029440 is an abundant number, since it is smaller than the sum of its proper divisors (2214129344).

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

1164029440 is an equidigital number, since it uses as much as digits as its factorization.

1164029440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3868 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 1164029440 is about 34117.8756665769. The cubic root of 1164029440 is about 1051.9327786952.

The spelling of 1164029440 in words is "one billion, one hundred sixty-four million, twenty-nine thousand, four hundred forty".