41842944 has 216 divisors, whose sum is σ = 142851072. Its totient is φ = 11612160.

The previous prime is 41842939. The next prime is 41842949. The reversal of 41842944 is 44924814.

It is an interprime number because it is at equal distance from previous prime (41842939) and next prime (41842949).

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 = 41842899 and 41842908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41842949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329409 + ... + 329535.

Almost surely, 2^41842944 is an apocalyptic number.

41842944 is a gapful number since it is divisible by the number (44) 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 41842944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71425536).

41842944 is an abundant number, since it is smaller than the sum of its proper divisors (101008128).

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

41842944 is a wasteful number, since it uses less digits than its factorization.

41842944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 156 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 41842944 is about 6468.6122159239. The cubic root of 41842944 is about 347.1688448476.

The spelling of 41842944 in words is "forty-one million, eight hundred forty-two thousand, nine hundred forty-four".