42152006144160 has 288 divisors, whose sum is σ = 156931878055680. Its totient is φ = 10217922201600.

The previous prime is 42152006144117. The next prime is 42152006144161. The reversal of 42152006144160 is 6144160025124.

42152006144160 is a `hidden beast` number, since 4 + 2 + 1 + 5 + 20 + 0 + 614 + 4 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42152006144161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234833326 + ... + 235012754.

It is an arithmetic number, because the mean of its divisors is an integer number (544902354360).

Almost surely, 2^{42152006144160} is an apocalyptic number.

42152006144160 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 42152006144160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78465939027840).

42152006144160 is an abundant number, since it is smaller than the sum of its proper divisors (114779871911520).

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

42152006144160 is a wasteful number, since it uses less digits than its factorization.

42152006144160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194292 (or 194281 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 42152006144160 its reverse (6144160025124), we get a palindrome (48296166169284).

The spelling of 42152006144160 in words is "forty-two trillion, one hundred fifty-two billion, six million, one hundred forty-four thousand, one hundred sixty".