42378840 has 192 divisors, whose sum is σ = 160392960. Its totient is φ = 9504000.

The previous prime is 42378823. The next prime is 42378851. The reversal of 42378840 is 4887324.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42378795 and 42378804.

It is a congruent number.

It is an unprimeable number.

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, 168715 + ... + 168965.

It is an arithmetic number, because the mean of its divisors is an integer number (835380).

Almost surely, 2^42378840 is an apocalyptic number.

42378840 is a gapful number since it is divisible by the number (40) 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 42378840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80196480).

42378840 is an abundant number, since it is smaller than the sum of its proper divisors (118014120).

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

42378840 is a wasteful number, since it uses less digits than its factorization.

42378840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 42378840 is about 6509.9032250871. The cubic root of 42378840 is about 348.6446631422.

The spelling of 42378840 in words is "forty-two million, three hundred seventy-eight thousand, eight hundred forty".