42035040 has 72 divisors (see below), whose sum is σ = 143449488. Its totient is φ = 11208960.

The previous prime is 42035029. The next prime is 42035083. The reversal of 42035040 is 4053024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13156 + ... + 16035.

It is an arithmetic number, because the mean of its divisors is an integer number (1992354).

Almost surely, 2^42035040 is an apocalyptic number.

42035040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42035040 is an abundant number, since it is smaller than the sum of its proper divisors (101414448).

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

42035040 is a wasteful number, since it uses less digits than its factorization.

42035040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29212 (or 29201 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 42035040 is about 6483.4435294834. The cubic root of 42035040 is about 347.6993042643.

Adding to 42035040 its reverse (4053024), we get a palindrome (46088064).

The spelling of 42035040 in words is "forty-two million, thirty-five thousand, forty".