42133056 has 224 divisors, whose sum is σ = 140451840. Its totient is φ = 10881024.

The previous prime is 42133043. The next prime is 42133057. The reversal of 42133056 is 65033124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42133057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 896425 + ... + 896471.

Almost surely, 2^42133056 is an apocalyptic number.

42133056 is a gapful number since it is divisible by the number (46) 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 42133056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70225920).

42133056 is an abundant number, since it is smaller than the sum of its proper divisors (98318784).

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

42133056 is a wasteful number, since it uses less digits than its factorization.

42133056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 42133056 is about 6490.9980742564. The cubic root of 42133056 is about 347.9693459589.

The spelling of 42133056 in words is "forty-two million, one hundred thirty-three thousand, fifty-six".