42132006664320 has 256 divisors, whose sum is σ = 135343348001280. Its totient is φ = 11147643125760.

The previous prime is 42132006664291. The next prime is 42132006664331. The reversal of 42132006664320 is 2346660023124.

It is a super-2 number, since 2×42132006664320² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 542612700 + ... + 542690340.

It is an arithmetic number, because the mean of its divisors is an integer number (528684953130).

Almost surely, 2^{42132006664320} is an apocalyptic number.

42132006664320 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 42132006664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67671674000640).

42132006664320 is an abundant number, since it is smaller than the sum of its proper divisors (93211341336960).

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

42132006664320 is a wasteful number, since it uses less digits than its factorization.

42132006664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79863 (or 79851 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 39.

Adding to 42132006664320 its reverse (2346660023124), we get a palindrome (44478666687444).

The spelling of 42132006664320 in words is "forty-two trillion, one hundred thirty-two billion, six million, six hundred sixty-four thousand, three hundred twenty".