1004042144 has 36 divisors (see below), whose sum is σ = 2299439394. Its totient is φ = 430303104.

The previous prime is 1004042093. The next prime is 1004042173. The reversal of 1004042144 is 4412404001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 985206544 + 18835600 = 31388^2 + 4340^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 318599 + ... + 321734.

Almost surely, 2^1004042144 is an apocalyptic number.

1004042144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1004042144 is an abundant number, since it is smaller than the sum of its proper divisors (1295397250).

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

1004042144 is an equidigital number, since it uses as much as digits as its factorization.

1004042144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640357 (or 640342 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1004042144 is about 31686.6240549542. The cubic root of 1004042144 is about 1001.3455699627.

Adding to 1004042144 its reverse (4412404001), we get a palindrome (5416446145).

The spelling of 1004042144 in words is "one billion, four million, forty-two thousand, one hundred forty-four".