42071424 has 48 divisors (see below), whose sum is σ = 112090860. Its totient is φ = 13981440.

The previous prime is 42071399. The next prime is 42071461. The reversal of 42071424 is 42417024.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 42071394 and 42071403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 126939 + ... + 127269.

Almost surely, 2^42071424 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 42071424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56045430).

42071424 is an abundant number, since it is smaller than the sum of its proper divisors (70019436).

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

42071424 is an frugal number, since it uses more digits than its factorization.

42071424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 42071424 is about 6486.2488388899. The cubic root of 42071424 is about 347.7995939532.

Multiplying 42071424 by its sum of digits (24), we get a square (1009714176 = 31776²).

42071424 divided by its sum of digits (24) gives a square (1752976 = 1324²).

Adding to 42071424 its reverse (42417024), we get a palindrome (84488448).

The spelling of 42071424 in words is "forty-two million, seventy-one thousand, four hundred twenty-four".