42378240 has 176 divisors, whose sum is σ = 141488640. Its totient is φ = 10813440.

The previous prime is 42378239. The next prime is 42378241. The reversal of 42378240 is 4287324.

42378240 is nontrivially palindromic in base 13.

It is an interprime number because it is at equal distance from previous prime (42378239) and next prime (42378241).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42378198 and 42378207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42378241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 476116 + ... + 476204.

Almost surely, 2^42378240 is an apocalyptic number.

42378240 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 42378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70744320).

42378240 is an abundant number, since it is smaller than the sum of its proper divisors (99110400).

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

42378240 is a wasteful number, since it uses less digits than its factorization.

42378240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 42378240 is about 6509.8571412897. The cubic root of 42378240 is about 348.6430177630.

The spelling of 42378240 in words is "forty-two million, three hundred seventy-eight thousand, two hundred forty".