42165640 has 64 divisors (see below), whose sum is σ = 105261120. Its totient is φ = 15072000.

The previous prime is 42165631. The next prime is 42165649. The reversal of 42165640 is 4656124.

It is an interprime number because it is at equal distance from previous prime (42165631) and next prime (42165649).

It is a junction number, because it is equal to n+sod(n) for n = 42165599 and 42165608.

It is not an unprimeable number, because it can be changed into a prime (42165649) 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, 26055 + ... + 27625.

It is an arithmetic number, because the mean of its divisors is an integer number (1644705).

Almost surely, 2^42165640 is an apocalyptic number.

42165640 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 42165640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52630560).

42165640 is an abundant number, since it is smaller than the sum of its proper divisors (63095480).

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

42165640 is a wasteful number, since it uses less digits than its factorization.

42165640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 42165640 is about 6493.5075267532. The cubic root of 42165640 is about 348.0590246471.

The spelling of 42165640 in words is "forty-two million, one hundred sixty-five thousand, six hundred forty".