42095480 has 64 divisors (see below), whose sum is σ = 109080000. Its totient is φ = 14321664.

The previous prime is 42095453. The next prime is 42095491. The reversal of 42095480 is 8459024.

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 15 ways as a sum of consecutive naturals, for example, 41216 + ... + 42224.

It is an arithmetic number, because the mean of its divisors is an integer number (1704375).

Almost surely, 2^42095480 is an apocalyptic number.

42095480 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 42095480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54540000).

42095480 is an abundant number, since it is smaller than the sum of its proper divisors (66984520).

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

42095480 is a wasteful number, since it uses less digits than its factorization.

42095480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 42095480 is about 6488.1029584926. The cubic root of 42095480 is about 347.8658707121.

The spelling of 42095480 in words is "forty-two million, ninety-five thousand, four hundred eighty".