1142824140 has 168 divisors, whose sum is σ = 3637958688. Its totient is φ = 301397760.

The previous prime is 1142824139. The next prime is 1142824181. The reversal of 1142824140 is 414282411.

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 (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1501360 + ... + 1502120.

It is an arithmetic number, because the mean of its divisors is an integer number (21654516).

Almost surely, 2^1142824140 is an apocalyptic number.

1142824140 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 1142824140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818979344).

1142824140 is an abundant number, since it is smaller than the sum of its proper divisors (2495134548).

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

1142824140 is a wasteful number, since it uses less digits than its factorization.

1142824140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1142824140 is about 33805.6820667769. The cubic root of 1142824140 is about 1045.5058530906.

The spelling of 1142824140 in words is "one billion, one hundred forty-two million, eight hundred twenty-four thousand, one hundred forty".