42018720 has 48 divisors (see below), whose sum is σ = 132360480. Its totient is φ = 11204864.

The previous prime is 42018719. The next prime is 42018731. The reversal of 42018720 is 2781024.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43290 + ... + 44249.

It is an arithmetic number, because the mean of its divisors is an integer number (2757510).

Almost surely, 2^42018720 is an apocalyptic number.

42018720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42018720 is an abundant number, since it is smaller than the sum of its proper divisors (90341760).

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

42018720 is a wasteful number, since it uses less digits than its factorization.

42018720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87557 (or 87549 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 42018720 is about 6482.1848168654. The cubic root of 42018720 is about 347.6543006422.

Adding to 42018720 its reverse (2781024), we get a palindrome (44799744).

Subtracting from 42018720 its reverse (2781024), we obtain a square (39237696 = 6264²).

It can be divided in two parts, 4201 and 8720, that added together give a palindrome (12921).

The spelling of 42018720 in words is "forty-two million, eighteen thousand, seven hundred twenty".