42132062304 has 192 divisors, whose sum is σ = 127056384000. Its totient is φ = 13568808960.

The previous prime is 42132062303. The next prime is 42132062321. The reversal of 42132062304 is 40326023124.

42132062304 is a `hidden beast` number, since 4 + 2 + 1 + 32 + 0 + 623 + 0 + 4 = 666.

It is a super-2 number, since 2×42132062304² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42132062303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27024277 + ... + 27025835.

It is an arithmetic number, because the mean of its divisors is an integer number (661752000).

Almost surely, 2^42132062304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42132062304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63528192000).

42132062304 is an abundant number, since it is smaller than the sum of its proper divisors (84924321696).

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

42132062304 is a wasteful number, since it uses less digits than its factorization.

42132062304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618 (or 2604 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 42132062304 its reverse (40326023124), we get a palindrome (82458085428).

The spelling of 42132062304 in words is "forty-two billion, one hundred thirty-two million, sixty-two thousand, three hundred four".