42544320 has 224 divisors, whose sum is σ = 166591488. Its totient is φ = 8957952.

The previous prime is 42544309. The next prime is 42544343. The reversal of 42544320 is 2344524.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87117 + ... + 87603.

It is an arithmetic number, because the mean of its divisors is an integer number (743712).

Almost surely, 2^42544320 is an apocalyptic number.

42544320 is a gapful number since it is divisible by the number (40) 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 42544320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83295744).

42544320 is an abundant number, since it is smaller than the sum of its proper divisors (124047168).

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

42544320 is a wasteful number, since it uses less digits than its factorization.

42544320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 42544320 is about 6522.6007083065. The cubic root of 42544320 is about 349.0978672066.

Adding to 42544320 its reverse (2344524), we get a palindrome (44888844).

The spelling of 42544320 in words is "forty-two million, five hundred forty-four thousand, three hundred twenty".