1004410000 has 200 divisors, whose sum is σ = 2775161664. Its totient is φ = 348480000.

The previous prime is 1004409979. The next prime is 1004410003. The reversal of 1004410000 is 144001.

1004410000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1004410003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2529802 + ... + 2530198.

Almost surely, 2^1004410000 is an apocalyptic number.

1004410000 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 1004410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387580832).

1004410000 is an abundant number, since it is smaller than the sum of its proper divisors (1770751664).

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

1004410000 is a wasteful number, since it uses less digits than its factorization.

1004410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1004410000 is about 31692.4281177697. The cubic root of 1004410000 is about 1001.4678443787.

Adding to 1004410000 its reverse (144001), we get a palindrome (1004554001).

It can be divided in two parts, 100 and 4410000, that multiplied together give a square (441000000 = 21000²).

The spelling of 1004410000 in words is "one billion, four million, four hundred ten thousand".