1843142400 has 324 divisors, whose sum is σ = 7191180360. Its totient is φ = 446668800.

The previous prime is 1843142377. The next prime is 1843142407. The reversal of 1843142400 is 42413481.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1843142407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 632146 + ... + 635054.

Almost surely, 2^1843142400 is an apocalyptic number.

1843142400 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 1843142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3595590180).

1843142400 is an abundant number, since it is smaller than the sum of its proper divisors (5348037960).

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

1843142400 is a wasteful number, since it uses less digits than its factorization.

1843142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1843142400 is about 42931.8343423618. The cubic root of 1843142400 is about 1226.0823198728.

Adding to 1843142400 its reverse (42413481), we get a palindrome (1885555881).

The spelling of 1843142400 in words is "one billion, eight hundred forty-three million, one hundred forty-two thousand, four hundred".