42168448 has 64 divisors (see below), whose sum is σ = 101102400. Its totient is φ = 17114112.

The previous prime is 42168437. The next prime is 42168457. The reversal of 42168448 is 84486124.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15786 + ... + 18262.

It is an arithmetic number, because the mean of its divisors is an integer number (1579725).

Almost surely, 2^42168448 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 42168448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50551200).

42168448 is an abundant number, since it is smaller than the sum of its proper divisors (58933952).

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

42168448 is a wasteful number, since it uses less digits than its factorization.

42168448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2517 (or 2505 counting only the distinct ones).

The product of its digits is 49152, while the sum is 37.

The square root of 42168448 is about 6493.7237391192. The cubic root of 42168448 is about 348.0667507486.

It can be divided in two parts, 42 and 168448, that added together give a triangular number (168490 = T₅₈₀).

The spelling of 42168448 in words is "forty-two million, one hundred sixty-eight thousand, four hundred forty-eight".