42641406 has 48 divisors (see below), whose sum is σ = 98353008. Its totient is φ = 13305600.

The previous prime is 42641383. The next prime is 42641419. The reversal of 42641406 is 60414624.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 42641406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101076 + ... + 101496.

It is an arithmetic number, because the mean of its divisors is an integer number (2049021).

Almost surely, 2^42641406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42641406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49176504).

42641406 is an abundant number, since it is smaller than the sum of its proper divisors (55711602).

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

42641406 is a wasteful number, since it uses less digits than its factorization.

42641406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 42641406 is about 6530.0387441423. The cubic root of 42641406 is about 349.3632122029.

The spelling of 42641406 in words is "forty-two million, six hundred forty-one thousand, four hundred six".