42814080 has 96 divisors (see below), whose sum is σ = 147862260. Its totient is φ = 11415552.

The previous prime is 42814027. The next prime is 42814081. The reversal of 42814080 is 8041824.

It can be written as a sum of positive squares in 2 ways, for example, as 38044224 + 4769856 = 6168^2 + 2184^2 .

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (42814081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2044 + ... + 9476.

Almost surely, 2^42814080 is an apocalyptic number.

42814080 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 42814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73931130).

42814080 is an abundant number, since it is smaller than the sum of its proper divisors (105048180).

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

42814080 is a wasteful number, since it uses less digits than its factorization.

42814080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7458 (or 7443 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 42814080 is about 6543.2469004310. The cubic root of 42814080 is about 349.8341527183.

The spelling of 42814080 in words is "forty-two million, eight hundred fourteen thousand, eighty".