42026880 has 256 divisors, whose sum is σ = 158630400. Its totient is φ = 9265152.

The previous prime is 42026869. The next prime is 42026891. The reversal of 42026880 is 8862024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42026869) and next prime (42026891).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 712291 + ... + 712349.

It is an arithmetic number, because the mean of its divisors is an integer number (619650).

Almost surely, 2^42026880 is an apocalyptic number.

42026880 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 42026880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79315200).

42026880 is an abundant number, since it is smaller than the sum of its proper divisors (116603520).

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

42026880 is a wasteful number, since it uses less digits than its factorization.

42026880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 42026880 is about 6482.8142037236. The cubic root of 42026880 is about 347.6768039096.

Adding to 42026880 its product of nonzero digits (6144), we get a palindrome (42033024).

It can be divided in two parts, 420 and 26880, that multiplied together give a square (11289600 = 3360²).

The spelling of 42026880 in words is "forty-two million, twenty-six thousand, eight hundred eighty".