42378144 has 96 divisors (see below), whose sum is σ = 123016320. Its totient is φ = 12705792.

The previous prime is 42378139. The next prime is 42378187. The reversal of 42378144 is 44187324.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36972 + ... + 38100.

It is an arithmetic number, because the mean of its divisors is an integer number (1281420).

Almost surely, 2^42378144 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 42378144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61508160).

42378144 is an abundant number, since it is smaller than the sum of its proper divisors (80638176).

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

42378144 is a wasteful number, since it uses less digits than its factorization.

42378144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1174 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 42378144 is about 6509.8497678518. The cubic root of 42378144 is about 348.6427545009.

The spelling of 42378144 in words is "forty-two million, three hundred seventy-eight thousand, one hundred forty-four".