42195120 has 120 divisors (see below), whose sum is σ = 143876208. Its totient is φ = 10222080.

The previous prime is 42195119. The next prime is 42195121. The reversal of 42195120 is 2159124.

It is an interprime number because it is at equal distance from previous prime (42195119) and next prime (42195121).

It is a tau number, because it is divible by the number of its divisors (120).

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 (42195121) 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, 28314 + ... + 29766.

Almost surely, 2^42195120 is an apocalyptic number.

42195120 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 42195120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71938104).

42195120 is an abundant number, since it is smaller than the sum of its proper divisors (101681088).

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

42195120 is a wasteful number, since it uses less digits than its factorization.

42195120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1474 counting only the distinct ones).

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

The square root of 42195120 is about 6495.7770897715. Note that the first 3 decimals coincide. The cubic root of 42195120 is about 348.1401206114.

It can be divided in two parts, 4219 and 5120, that added together give a palindrome (9339).

The spelling of 42195120 in words is "forty-two million, one hundred ninety-five thousand, one hundred twenty".