42653040 has 80 divisors (see below), whose sum is σ = 137991168. Its totient is φ = 10878208.

The previous prime is 42653029. The next prime is 42653041. The reversal of 42653040 is 4035624.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a zygodrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 42653040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42653041) 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, 1657 + ... + 9383.

Almost surely, 2^42653040 is an apocalyptic number.

42653040 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 42653040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68995584).

42653040 is an abundant number, since it is smaller than the sum of its proper divisors (95338128).

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

42653040 is a wasteful number, since it uses less digits than its factorization.

42653040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7766 (or 7760 counting only the distinct ones).

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

The square root of 42653040 is about 6530.9294897434. The cubic root of 42653040 is about 349.3949819654.

Adding to 42653040 its reverse (4035624), we get a palindrome (46688664).

The spelling of 42653040 in words is "forty-two million, six hundred fifty-three thousand, forty".