1004134040 has 128 divisors (see below), whose sum is σ = 2927232000. Its totient is φ = 301045248.

The previous prime is 1004134013. The next prime is 1004134057. The reversal of 1004134040 is 404314001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61901 + ... + 76419.

It is an arithmetic number, because the mean of its divisors is an integer number (22869000).

Almost surely, 2^1004134040 is an apocalyptic number.

1004134040 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 1004134040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463616000).

1004134040 is an abundant number, since it is smaller than the sum of its proper divisors (1923097960).

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

1004134040 is a wasteful number, since it uses less digits than its factorization.

1004134040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14569 (or 14565 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1004134040 is about 31688.0740973635. The cubic root of 1004134040 is about 1001.3761187618.

Adding to 1004134040 its reverse (404314001), we get a palindrome (1408448041).

The spelling of 1004134040 in words is "one billion, four million, one hundred thirty-four thousand, forty".