1004133440 has 56 divisors (see below), whose sum is σ = 2394018072. Its totient is φ = 401162240.

The previous prime is 1004133437. The next prime is 1004133443. The reversal of 1004133440 is 443314001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1004133437) and next prime (1004133443).

It can be written as a sum of positive squares in 4 ways, for example, as 363436096 + 640697344 = 19064^2 + 25312^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1004133443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 376592 + ... + 379248.

Almost surely, 2^1004133440 is an apocalyptic number.

1004133440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004133440 is an abundant number, since it is smaller than the sum of its proper divisors (1389884632).

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

1004133440 is a wasteful number, since it uses less digits than its factorization.

1004133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3855 (or 3845 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1004133440 is about 31688.0646300780. The cubic root of 1004133440 is about 1001.3759193111.

Adding to 1004133440 its reverse (443314001), we get a palindrome (1447447441).

The spelling of 1004133440 in words is "one billion, four million, one hundred thirty-three thousand, four hundred forty".