42133410 has 144 divisors (see below), whose sum is σ = 124363512. Its totient is φ = 9884160.

The previous prime is 42133369. The next prime is 42133411. The reversal of 42133410 is 1433124.

It can be written as a sum of positive squares in 4 ways, for example, as 38081241 + 4052169 = 6171^2 + 2013^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42133411) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 577134 + ... + 577206.

Almost surely, 2^42133410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42133410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62181756).

42133410 is an abundant number, since it is smaller than the sum of its proper divisors (82230102).

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

42133410 is a wasteful number, since it uses less digits than its factorization.

42133410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 42133410 is about 6491.0253427328. The cubic root of 42133410 is about 347.9703204970.

Adding to 42133410 its reverse (1433124), we get a palindrome (43566534).

The spelling of 42133410 in words is "forty-two million, one hundred thirty-three thousand, four hundred ten".