841446144 has 720 divisors, whose sum is σ = 3419006976. Its totient is φ = 199065600.

The previous prime is 841446121. The next prime is 841446149. The reversal of 841446144 is 441644148.

It is a super-2 number, since 2×841446144² = 1416063226504937472, which contains 22 as substring.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 841446099 and 841446108.

It is not an unprimeable number, because it can be changed into a prime (841446149) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27143409 + ... + 27143439.

Almost surely, 2^841446144 is an apocalyptic number.

841446144 is a gapful number since it is divisible by the number (84) 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 841446144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709503488).

841446144 is an abundant number, since it is smaller than the sum of its proper divisors (2577560832).

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

841446144 is a wasteful number, since it uses less digits than its factorization.

841446144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 71 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 841446144 is about 29007.6911180466. The cubic root of 841446144 is about 944.0799510949.

It can be divided in two parts, 841 and 446144, that added together give a triangular number (446985 = T₉₄₅).

The spelling of 841446144 in words is "eight hundred forty-one million, four hundred forty-six thousand, one hundred forty-four".