42512000 has 64 divisors (see below), whose sum is σ = 105735240. Its totient is φ = 16998400.

The previous prime is 42511991. The next prime is 42512023. The reversal of 42512000 is 21524.

It can be written as a sum of positive squares in 4 ways, for example, as 15555136 + 26956864 = 3944^2 + 5192^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14672 + ... + 17328.

Almost surely, 2^42512000 is an apocalyptic number.

42512000 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 42512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52867620).

42512000 is an abundant number, since it is smaller than the sum of its proper divisors (63223240).

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

42512000 is an equidigital number, since it uses as much as digits as its factorization.

42512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 42512000 is about 6520.1226982320. The cubic root of 42512000 is about 349.0094441113.

Adding to 42512000 its reverse (21524), we get a palindrome (42533524).

The spelling of 42512000 in words is "forty-two million, five hundred twelve thousand".