1842126400 has 189 divisors, whose sum is σ = 4824781689. Its totient is φ = 692213760.

The previous prime is 1842126397. The next prime is 1842126499. The reversal of 1842126400 is 46212481.

The square root of 1842126400 is 42920.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 345365056 + 1496761344 = 18584^2 + 38688^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 49787182 + ... + 49787218.

Almost surely, 2^1842126400 is an apocalyptic number.

1842126400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1842126400 is the 42920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1842126400

1842126400 is an abundant number, since it is smaller than the sum of its proper divisors (2982655289).

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

1842126400 is an equidigital number, since it uses as much as digits as its factorization.

1842126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The cubic root of 1842126400 is about 1225.8569929895.

Adding to 1842126400 its reverse (46212481), we get a palindrome (1888338881).

The spelling of 1842126400 in words is "one billion, eight hundred forty-two million, one hundred twenty-six thousand, four hundred".