42071040 has 264 divisors, whose sum is σ = 160943328. Its totient is φ = 10076160.

The previous prime is 42071033. The next prime is 42071041. The reversal of 42071040 is 4017024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (264).

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 (42071041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 506839 + ... + 506921.

Almost surely, 2^42071040 is an apocalyptic number.

42071040 is a gapful number since it is divisible by the number (40) 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 42071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80471664).

42071040 is an abundant number, since it is smaller than the sum of its proper divisors (118872288).

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

42071040 is a wasteful number, since it uses less digits than its factorization.

42071040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 42071040 is about 6486.2192377378. The cubic root of 42071040 is about 347.7985357888.

Adding to 42071040 its reverse (4017024), we get a palindrome (46088064).

The spelling of 42071040 in words is "forty-two million, seventy-one thousand, forty".