42559440 has 320 divisors, whose sum is σ = 171417600. Its totient is φ = 8655360.

The previous prime is 42559399. The next prime is 42559441. The reversal of 42559440 is 4495524.

It is a super-2 number, since 2×42559440² = 3622611866227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42559441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 905497 + ... + 905543.

It is an arithmetic number, because the mean of its divisors is an integer number (535680).

Almost surely, 2^42559440 is an apocalyptic number.

42559440 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 42559440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85708800).

42559440 is an abundant number, since it is smaller than the sum of its proper divisors (128858160).

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

42559440 is a wasteful number, since it uses less digits than its factorization.

42559440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 42559440 is about 6523.7596522251. The cubic root of 42559440 is about 349.1392180816.

It can be divided in two parts, 4255 and 9440, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 42559440 in words is "forty-two million, five hundred fifty-nine thousand, four hundred forty".