1842712416 has 480 divisors, whose sum is σ = 6322821120. Its totient is φ = 522547200.

The previous prime is 1842712387. The next prime is 1842712423. The reversal of 1842712416 is 6142172481.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 25953661 + ... + 25953731.

It is an arithmetic number, because the mean of its divisors is an integer number (13172544).

Almost surely, 2^1842712416 is an apocalyptic number.

1842712416 is a gapful number since it is divisible by the number (16) 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 1842712416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3161410560).

1842712416 is an abundant number, since it is smaller than the sum of its proper divisors (4480108704).

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

1842712416 is a wasteful number, since it uses less digits than its factorization.

1842712416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 143 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 1842712416 is about 42926.8262977826. The cubic root of 1842712416 is about 1225.9869688061.

Adding to 1842712416 its reverse (6142172481), we get a palindrome (7984884897).

The spelling of 1842712416 in words is "one billion, eight hundred forty-two million, seven hundred twelve thousand, four hundred sixteen".