42265440 has 216 divisors, whose sum is σ = 168058800. Its totient is φ = 9644544.

The previous prime is 42265427. The next prime is 42265463. The reversal of 42265440 is 4456224.

42265440 is a `hidden beast` number, since 4 + 2 + 2 + 654 + 4 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 70261 + ... + 70859.

It is an arithmetic number, because the mean of its divisors is an integer number (778050).

Almost surely, 2^42265440 is an apocalyptic number.

42265440 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 42265440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84029400).

42265440 is an abundant number, since it is smaller than the sum of its proper divisors (125793360).

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

42265440 is a wasteful number, since it uses less digits than its factorization.

42265440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 42265440 is about 6501.1875838188. The cubic root of 42265440 is about 348.3334101529. Note that the first 3 decimals are identical.

The spelling of 42265440 in words is "forty-two million, two hundred sixty-five thousand, four hundred forty".