1842411144 has 64 divisors (see below), whose sum is σ = 5268954240. Its totient is φ = 525911040.

The previous prime is 1842411119. The next prime is 1842411149. The reversal of 1842411144 is 4411142481.

1842411144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1842411149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199264 + ... + 208304.

It is an arithmetic number, because the mean of its divisors is an integer number (82327410).

Almost surely, 2^1842411144 is an apocalyptic number.

1842411144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1842411144 is an abundant number, since it is smaller than the sum of its proper divisors (3426543096).

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

1842411144 is a wasteful number, since it uses less digits than its factorization.

1842411144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10270 (or 10266 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The square root of 1842411144 is about 42923.3170200067. The cubic root of 1842411144 is about 1225.9201514207.

The spelling of 1842411144 in words is "one billion, eight hundred forty-two million, four hundred eleven thousand, one hundred forty-four".