42378570 has 96 divisors (see below), whose sum is σ = 122850000. Its totient is φ = 10063872.

The previous prime is 42378547. The next prime is 42378571. The reversal of 42378570 is 7587324.

42378570 = T₄₃₆ + T₄₃₇ + ... + T₆₉₅.

It can be written as a sum of positive squares in 8 ways, for example, as 9235521 + 33143049 = 3039^2 + 5757^2 .

It is not an unprimeable number, because it can be changed into a prime (42378571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33306 + ... + 34554.

Almost surely, 2^42378570 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42378570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61425000).

42378570 is an abundant number, since it is smaller than the sum of its proper divisors (80471430).

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

42378570 is a wasteful number, since it uses less digits than its factorization.

42378570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 42378570 is about 6509.8824874186. The cubic root of 42378570 is about 348.6439227235.

The spelling of 42378570 in words is "forty-two million, three hundred seventy-eight thousand, five hundred seventy".