19044230400 has 648 divisors, whose sum is σ = 75939853080. Its totient is φ = 4521000960.

The previous prime is 19044230393. The next prime is 19044230411. The reversal of 19044230400 is 403244091.

19044230400 is a `hidden beast` number, since 190 + 4 + 42 + 30 + 400 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 4850843904 + 14193386496 = 69648^2 + 119136^2 .

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 21714762 + ... + 21715638.

Almost surely, 2^19044230400 is an apocalyptic number.

19044230400 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 19044230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37969926540).

19044230400 is an abundant number, since it is smaller than the sum of its proper divisors (56895622680).

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

19044230400 is a wasteful number, since it uses less digits than its factorization.

19044230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 19044230400 its reverse (403244091), we get a palindrome (19447474491).

It can be divided in two parts, 19044 and 230400, that multiplied together give a square (4387737600 = 66240²).

The spelling of 19044230400 in words is "nineteen billion, forty-four million, two hundred thirty thousand, four hundred".