42211584 has 144 divisors (see below), whose sum is σ = 129507840. Its totient is φ = 13547520.

The previous prime is 42211583. The next prime is 42211613. The reversal of 42211584 is 48511224.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (42211583) 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, 214174 + ... + 214370.

It is an arithmetic number, because the mean of its divisors is an integer number (899360).

Almost surely, 2^42211584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42211584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64753920).

42211584 is an abundant number, since it is smaller than the sum of its proper divisors (87296256).

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

42211584 is a wasteful number, since it uses less digits than its factorization.

42211584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 233 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 42211584 is about 6497.0442510422. The cubic root of 42211584 is about 348.1853946749.

The spelling of 42211584 in words is "forty-two million, two hundred eleven thousand, five hundred eighty-four".