1004110400 has 84 divisors (see below), whose sum is σ = 2505821760. Its totient is φ = 395942400.

The previous prime is 1004110391. The next prime is 1004110409. The reversal of 1004110400 is 40114001.

1004110400 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (1004110391) and next prime (1004110409).

It is not an unprimeable number, because it can be changed into a prime (1004110409) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 109181 + ... + 118019.

Almost surely, 2^1004110400 is an apocalyptic number.

1004110400 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 1004110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252910880).

1004110400 is an abundant number, since it is smaller than the sum of its proper divisors (1501711360).

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

1004110400 is an equidigital number, since it uses as much as digits as its factorization.

1004110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8932 (or 8917 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1004110400 is about 31687.7010841746. The cubic root of 1004110400 is about 1001.3682603431.

Adding to 1004110400 its reverse (40114001), we get a palindrome (1044224401).

The spelling of 1004110400 in words is "one billion, four million, one hundred ten thousand, four hundred".