1811030400 has 576 divisors, whose sum is σ = 7147511280. Its totient is φ = 451215360.

The previous prime is 1811030381. The next prime is 1811030407. The reversal of 1811030400 is 40301181.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1811030400² = 6559662219448320000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1811030407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13219132 + ... + 13219268.

Almost surely, 2^1811030400 is an apocalyptic number.

1811030400 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 1811030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3573755640).

1811030400 is an abundant number, since it is smaller than the sum of its proper divisors (5336480880).

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

1811030400 is a wasteful number, since it uses less digits than its factorization.

1811030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1811030400 is about 42556.2028381292. The cubic root of 1811030400 is about 1218.9201229973.

Adding to 1811030400 its reverse (40301181), we get a palindrome (1851331581).

The spelling of 1811030400 in words is "one billion, eight hundred eleven million, thirty thousand, four hundred".