42418944 has 216 divisors, whose sum is σ = 140177520. Its totient is φ = 12607488.

The previous prime is 42418939. The next prime is 42418991. The reversal of 42418944 is 44981424.

42418944 = 39³ + 40³ + ... + 114³.

It is a tau number, because it is divible by the number of its divisors (216).

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 = 42418899 and 42418908.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2232567 + ... + 2232585.

It is an arithmetic number, because the mean of its divisors is an integer number (648970).

Almost surely, 2^42418944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42418944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70088760).

42418944 is an abundant number, since it is smaller than the sum of its proper divisors (97758576).

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

42418944 is a wasteful number, since it uses less digits than its factorization.

42418944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 41 counting only the distinct ones).

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

The square root of 42418944 is about 6512.9827268311. The cubic root of 42418944 is about 348.7546050959.

The spelling of 42418944 in words is "forty-two million, four hundred eighteen thousand, nine hundred forty-four".