42641040 has 160 divisors (see below), whose sum is σ = 144990720. Its totient is φ = 10303488.

The previous prime is 42641033. The next prime is 42641051. The reversal of 42641040 is 4014624.

It is a junction number, because it is equal to n+sod(n) for n = 42640998 and 42641016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246394 + ... + 246566.

It is an arithmetic number, because the mean of its divisors is an integer number (906192).

Almost surely, 2^42641040 is an apocalyptic number.

42641040 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 42641040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72495360).

42641040 is an abundant number, since it is smaller than the sum of its proper divisors (102349680).

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

42641040 is a wasteful number, since it uses less digits than its factorization.

42641040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 42641040 is about 6530.0107197462. The cubic root of 42641040 is about 349.3622126479.

Adding to 42641040 its reverse (4014624), we get a palindrome (46655664).

The spelling of 42641040 in words is "forty-two million, six hundred forty-one thousand, forty".