1010804400 has 240 divisors, whose sum is σ = 3625199520. Its totient is φ = 267494400.

The previous prime is 1010804363. The next prime is 1010804413. The reversal of 1010804400 is 44080101.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1868130 + ... + 1868670.

It is an arithmetic number, because the mean of its divisors is an integer number (15104998).

Almost surely, 2^1010804400 is an apocalyptic number.

1010804400 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 1010804400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812599760).

1010804400 is an abundant number, since it is smaller than the sum of its proper divisors (2614395120).

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

1010804400 is a wasteful number, since it uses less digits than its factorization.

1010804400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1010804400 is about 31793.1502056654. The cubic root of 1010804400 is about 1003.5885734032.

Adding to 1010804400 its reverse (44080101), we get a palindrome (1054884501).

The spelling of 1010804400 in words is "one billion, ten million, eight hundred four thousand, four hundred".