42033144 has 32 divisors (see below), whose sum is σ = 109653120. Its totient is φ = 13401696.

The previous prime is 42033143. The next prime is 42033161. The reversal of 42033144 is 44133024.

42033144 = T₂₈₂ + T₂₈₃ + ... + T₆₄₉.

It is a self number, because there is not a number n which added to its sum of digits gives 42033144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42033143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37522 + ... + 38625.

It is an arithmetic number, because the mean of its divisors is an integer number (3426660).

Almost surely, 2^42033144 is an apocalyptic number.

It is an amenable number.

42033144 is an abundant number, since it is smaller than the sum of its proper divisors (67619976).

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

42033144 is a wasteful number, since it uses less digits than its factorization.

42033144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76179 (or 76175 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 42033144 is about 6483.2973092401. The cubic root of 42033144 is about 347.6940765004.

Adding to 42033144 its reverse (44133024), we get a palindrome (86166168).

The spelling of 42033144 in words is "forty-two million, thirty-three thousand, one hundred forty-four".