42541632 has 112 divisors (see below), whose sum is σ = 142971520. Its totient is φ = 12151296.

The previous prime is 42541619. The next prime is 42541643. The reversal of 42541632 is 23614524.

42541632 is a `hidden beast` number, since 4 + 25 + 4 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 42541596 and 42541605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10338 + ... + 13854.

Almost surely, 2^42541632 is an apocalyptic number.

42541632 is a gapful number since it is divisible by the number (42) 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 42541632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71485760).

42541632 is an abundant number, since it is smaller than the sum of its proper divisors (100429888).

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

42541632 is a wasteful number, since it uses less digits than its factorization.

42541632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3545 (or 3529 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 42541632 is about 6522.3946522730. The cubic root of 42541632 is about 349.0905149143.

It can be divided in two parts, 4254 and 1632, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 42541632 in words is "forty-two million, five hundred forty-one thousand, six hundred thirty-two".