42875040 has 96 divisors (see below), whose sum is σ = 145466496. Its totient is φ = 10552320.

The previous prime is 42875033. The next prime is 42875047. The reversal of 42875040 is 4057824.

It is an interprime number because it is at equal distance from previous prime (42875033) and next prime (42875047).

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 42874989 and 42875007.

It is not an unprimeable number, because it can be changed into a prime (42875047) 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, 2805 + ... + 9675.

It is an arithmetic number, because the mean of its divisors is an integer number (1515276).

Almost surely, 2^42875040 is an apocalyptic number.

42875040 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 42875040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72733248).

42875040 is an abundant number, since it is smaller than the sum of its proper divisors (102591456).

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

42875040 is a wasteful number, since it uses less digits than its factorization.

42875040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6902 (or 6894 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 42875040 is about 6547.9034812679. The cubic root of 42875040 is about 350.0001088435. Note that the first 3 decimals are identical.

The spelling of 42875040 in words is "forty-two million, eight hundred seventy-five thousand, forty".