1141309824 has 128 divisors (see below), whose sum is σ = 3225484800. Its totient is φ = 356327424.

The previous prime is 1141309823. The next prime is 1141309837. The reversal of 1141309824 is 4289031411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1141309824² = 2605176228717821952, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141309823) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2343309 + ... + 2343795.

It is an arithmetic number, because the mean of its divisors is an integer number (25199100).

Almost surely, 2^1141309824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141309824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612742400).

1141309824 is an abundant number, since it is smaller than the sum of its proper divisors (2084174976).

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

1141309824 is a wasteful number, since it uses less digits than its factorization.

1141309824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 1141309824 is about 33783.2772832951. The cubic root of 1141309824 is about 1045.0438613184.

The spelling of 1141309824 in words is "one billion, one hundred forty-one million, three hundred nine thousand, eight hundred twenty-four".