42288960 has 336 divisors, whose sum is σ = 166786560. Its totient is φ = 9031680.

The previous prime is 42288959. The next prime is 42288971. The reversal of 42288960 is 6988224.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×42288960² = 3576712275763200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1364145 + ... + 1364175.

Almost surely, 2^42288960 is an apocalyptic number.

42288960 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 42288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83393280).

42288960 is an abundant number, since it is smaller than the sum of its proper divisors (124497600).

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

42288960 is a wasteful number, since it uses less digits than its factorization.

42288960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 42288960 is about 6502.9962325070. The cubic root of 42288960 is about 348.3980120479.

The spelling of 42288960 in words is "forty-two million, two hundred eighty-eight thousand, nine hundred sixty".