42651360 has 144 divisors (see below), whose sum is σ = 151076016. Its totient is φ = 11363328.

The previous prime is 42651341. The next prime is 42651397. The reversal of 42651360 is 6315624.

42651360 is a `hidden beast` number, since 4 + 2 + 651 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38332 + ... + 39428.

It is an arithmetic number, because the mean of its divisors is an integer number (1049139).

Almost surely, 2^42651360 is an apocalyptic number.

42651360 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 42651360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75538008).

42651360 is an abundant number, since it is smaller than the sum of its proper divisors (108424656).

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

42651360 is a wasteful number, since it uses less digits than its factorization.

42651360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 42651360 is about 6530.8008697249. The cubic root of 42651360 is about 349.3903946310.

Adding to 42651360 its reverse (6315624), we get a palindrome (48966984).

It can be divided in two parts, 4265 and 1360, that added together give a square (5625 = 75²).

The spelling of 42651360 in words is "forty-two million, six hundred fifty-one thousand, three hundred sixty".