42147360 has 72 divisors (see below), whose sum is σ = 143832780. Its totient is φ = 11238912.

The previous prime is 42147359. The next prime is 42147361. The reversal of 42147360 is 6374124.

It is an interprime number because it is at equal distance from previous prime (42147359) and next prime (42147361).

It can be written as a sum of positive squares in 2 ways, for example, as 42146064 + 1296 = 6492^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (42147361) 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, 13195 + ... + 16074.

Almost surely, 2^42147360 is an apocalyptic number.

42147360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42147360 is an abundant number, since it is smaller than the sum of its proper divisors (101685420).

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

42147360 is a wasteful number, since it uses less digits than its factorization.

42147360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29290 (or 29279 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 42147360 is about 6492.0998143898. The cubic root of 42147360 is about 348.0087195596.

The spelling of 42147360 in words is "forty-two million, one hundred forty-seven thousand, three hundred sixty".