1040644800 has 672 divisors, whose sum is σ = 4365345600. Its totient is φ = 238878720.

The previous prime is 1040644723. The next prime is 1040644807. The reversal of 1040644800 is 84460401.

1040644800 is a `hidden beast` number, since 10 + 4 + 0 + 644 + 8 + 0 + 0 = 666.

1040644800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1040644807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9547146 + ... + 9547254.

It is an arithmetic number, because the mean of its divisors is an integer number (6496050).

Almost surely, 2^1040644800 is an apocalyptic number.

1040644800 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 1040644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2182672800).

1040644800 is an abundant number, since it is smaller than the sum of its proper divisors (3324700800).

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

1040644800 is a wasteful number, since it uses less digits than its factorization.

1040644800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1040644800 is about 32259.0266437163. The cubic root of 1040644800 is about 1013.3687468387.

The spelling of 1040644800 in words is "one billion, forty million, six hundred forty-four thousand, eight hundred".