42190512 has 120 divisors (see below), whose sum is σ = 135062784. Its totient is φ = 11112192.

The previous prime is 42190459. The next prime is 42190513. The reversal of 42190512 is 21509124.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (42190513) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 56413 + ... + 57155.

Almost surely, 2^42190512 is an apocalyptic number.

42190512 is a gapful number since it is divisible by the number (42) 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 42190512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67531392).

42190512 is an abundant number, since it is smaller than the sum of its proper divisors (92872272).

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

42190512 is a wasteful number, since it uses less digits than its factorization.

42190512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 42190512 is about 6495.4223881130. The cubic root of 42190512 is about 348.1274470441.

Adding to 42190512 its reverse (21509124), we get a palindrome (63699636).

The spelling of 42190512 in words is "forty-two million, one hundred ninety thousand, five hundred twelve".