42261744 has 80 divisors (see below), whose sum is σ = 126555392. Its totient is φ = 11902464.

The previous prime is 42261743. The next prime is 42261781. The reversal of 42261744 is 44716224.

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 (42261743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23667 + ... + 25389.

Almost surely, 2^42261744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42261744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63277696).

42261744 is an abundant number, since it is smaller than the sum of its proper divisors (84293648).

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

42261744 is a wasteful number, since it uses less digits than its factorization.

42261744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814 (or 1808 counting only the distinct ones).

The product of its digits is 10752, while the sum is 30.

The square root of 42261744 is about 6500.9033218469. The cubic root of 42261744 is about 348.3232562477.

Adding to 42261744 its reverse (44716224), we get a palindrome (86977968).

The spelling of 42261744 in words is "forty-two million, two hundred sixty-one thousand, seven hundred forty-four".