42759840 has 48 divisors (see below), whose sum is σ = 134695008. Its totient is φ = 11402496.

The previous prime is 42759839. The next prime is 42759859. The reversal of 42759840 is 4895724.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44062 + ... + 45021.

It is an arithmetic number, because the mean of its divisors is an integer number (2806146).

Almost surely, 2^42759840 is an apocalyptic number.

42759840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42759840 is an abundant number, since it is smaller than the sum of its proper divisors (91935168).

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

42759840 is a wasteful number, since it uses less digits than its factorization.

42759840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89101 (or 89093 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 42759840 is about 6539.1008556223. The cubic root of 42759840 is about 349.6863584797.

The spelling of 42759840 in words is "forty-two million, seven hundred fifty-nine thousand, eight hundred forty".