1040033200 has 60 divisors (see below), whose sum is σ = 2511946368. Its totient is φ = 413804800.

The previous prime is 1040033173. The next prime is 1040033209. The reversal of 1040033200 is 23300401.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (1040033209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69594 + ... + 83206.

Almost surely, 2^1040033200 is an apocalyptic number.

1040033200 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 1040033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255973184).

1040033200 is an abundant number, since it is smaller than the sum of its proper divisors (1471913168).

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

1040033200 is a wasteful number, since it uses less digits than its factorization.

1040033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13822 (or 13811 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 1040033200 is about 32249.5457332348. The cubic root of 1040033200 is about 1013.1701847607.

Adding to 1040033200 its reverse (23300401), we get a palindrome (1063333601).

The spelling of 1040033200 in words is "one billion, forty million, thirty-three thousand, two hundred".