42635040 has 96 divisors (see below), whose sum is σ = 153498240. Its totient is φ = 9744384.

The previous prime is 42635027. The next prime is 42635041. The reversal of 42635040 is 4053624.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 42635040.

It is not an unprimeable number, because it can be changed into a prime (42635041) 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, 2985 + ... + 9704.

It is an arithmetic number, because the mean of its divisors is an integer number (1598940).

Almost surely, 2^42635040 is an apocalyptic number.

42635040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42635040 is an abundant number, since it is smaller than the sum of its proper divisors (110863200).

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

42635040 is a wasteful number, since it uses less digits than its factorization.

42635040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12714 (or 12706 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 42635040 is about 6529.5512862677. The cubic root of 42635040 is about 349.3458256836.

Adding to 42635040 its reverse (4053624), we get a palindrome (46688664).

The spelling of 42635040 in words is "forty-two million, six hundred thirty-five thousand, forty".