42133344 has 96 divisors (see below), whose sum is σ = 127806336. Its totient is φ = 12011520.

The previous prime is 42133339. The next prime is 42133349. The reversal of 42133344 is 44333124.

It is an interprime number because it is at equal distance from previous prime (42133339) and next prime (42133349).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42133349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16779 + ... + 19125.

It is an arithmetic number, because the mean of its divisors is an integer number (1331316).

Almost surely, 2^42133344 is an apocalyptic number.

42133344 is a gapful number since it is divisible by the number (44) 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 42133344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63903168).

42133344 is an abundant number, since it is smaller than the sum of its proper divisors (85672992).

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

42133344 is a wasteful number, since it uses less digits than its factorization.

42133344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388 (or 2380 counting only the distinct ones).

The product of its digits is 3456, while the sum is 24.

The square root of 42133344 is about 6491.0202587883. The cubic root of 42133344 is about 347.9701388038.

Adding to 42133344 its reverse (44333124), we get a palindrome (86466468).

It can be divided in two parts, 4213 and 3344, that added together give a palindrome (7557).

The spelling of 42133344 in words is "forty-two million, one hundred thirty-three thousand, three hundred forty-four".