1040218400 has 144 divisors (see below), whose sum is σ = 2829897000. Its totient is φ = 370728960.

The previous prime is 1040218393. The next prime is 1040218433. The reversal of 1040218400 is 48120401.

It can be written as a sum of positive squares in 12 ways, for example, as 84419344 + 955799056 = 9188^2 + 30916^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299876 + ... + 303324.

Almost surely, 2^1040218400 is an apocalyptic number.

1040218400 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 1040218400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414948500).

1040218400 is an abundant number, since it is smaller than the sum of its proper divisors (1789678600).

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

1040218400 is a wasteful number, since it uses less digits than its factorization.

1040218400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3511 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 1040218400 is about 32252.4169636944. The cubic root of 1040218400 is about 1013.2303200145.

Adding to 1040218400 its reverse (48120401), we get a palindrome (1088338801).

The spelling of 1040218400 in words is "one billion, forty million, two hundred eighteen thousand, four hundred".