1004144140 has 48 divisors (see below), whose sum is σ = 2186261280. Its totient is φ = 386946560.

The previous prime is 1004144107. The next prime is 1004144171. The reversal of 1004144140 is 414414001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300519 + ... + 303841.

It is an arithmetic number, because the mean of its divisors is an integer number (45547110).

Almost surely, 2^1004144140 is an apocalyptic number.

1004144140 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 1004144140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093130640).

1004144140 is an abundant number, since it is smaller than the sum of its proper divisors (1182117140).

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

1004144140 is a wasteful number, since it uses less digits than its factorization.

1004144140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3882 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1004144140 is about 31688.2334629118. The cubic root of 1004144140 is about 1001.3794761705.

Adding to 1004144140 its reverse (414414001), we get a palindrome (1418558141).

The spelling of 1004144140 in words is "one billion, four million, one hundred forty-four thousand, one hundred forty".