42240960 has 112 divisors (see below), whose sum is σ = 149047200. Its totient is φ = 11261952.

The previous prime is 42240959. The next prime is 42240973. The reversal of 42240960 is 6904224.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6196 + ... + 11084.

Almost surely, 2^42240960 is an apocalyptic number.

42240960 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 42240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74523600).

42240960 is an abundant number, since it is smaller than the sum of its proper divisors (106806240).

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

42240960 is a wasteful number, since it uses less digits than its factorization.

42240960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4915 (or 4899 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 42240960 is about 6499.3045781837. The cubic root of 42240960 is about 348.2661459869.

The spelling of 42240960 in words is "forty-two million, two hundred forty thousand, nine hundred sixty".