42126720 has 128 divisors (see below), whose sum is σ = 138140640. Its totient is φ = 10911744.

The previous prime is 42126709. The next prime is 42126761. The reversal of 42126720 is 2762124.

It is a tau number, because it is divible by the number of its divisors (128).

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

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, 70744 + ... + 71336.

Almost surely, 2^42126720 is an apocalyptic number.

42126720 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 42126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69070320).

42126720 is an abundant number, since it is smaller than the sum of its proper divisors (96013920).

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

42126720 is a wasteful number, since it uses less digits than its factorization.

42126720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 42126720 is about 6490.5099953702. The cubic root of 42126720 is about 347.9519024556.

Adding to 42126720 its reverse (2762124), we get a palindrome (44888844).

The spelling of 42126720 in words is "forty-two million, one hundred twenty-six thousand, seven hundred twenty".