42015360 has 128 divisors (see below), whose sum is σ = 136108800. Its totient is φ = 11022336.

The previous prime is 42015359. The next prime is 42015367. The reversal of 42015360 is 6351024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (42015367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151542 + ... + 151818.

It is an arithmetic number, because the mean of its divisors is an integer number (1063350).

Almost surely, 2^42015360 is an apocalyptic number.

42015360 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 42015360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68054400).

42015360 is an abundant number, since it is smaller than the sum of its proper divisors (94093440).

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

42015360 is a wasteful number, since it uses less digits than its factorization.

42015360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 42015360 is about 6481.9256398080. The cubic root of 42015360 is about 347.6450337441.

Adding to 42015360 its reverse (6351024), we get a palindrome (48366384).

The spelling of 42015360 in words is "forty-two million, fifteen thousand, three hundred sixty".