42135160166640 has 240 divisors, whose sum is σ = 141802337435616. Its totient is φ = 11212357478400.

The previous prime is 42135160166557. The next prime is 42135160166677. The reversal of 42135160166640 is 4666106153124.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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, 1790611675 + ... + 1790635205.

Almost surely, 2^{42135160166640} is an apocalyptic number.

42135160166640 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 42135160166640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70901168717808).

42135160166640 is an abundant number, since it is smaller than the sum of its proper divisors (99667177268976).

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

42135160166640 is a wasteful number, since it uses less digits than its factorization.

42135160166640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28688 (or 28679 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 42135160166640 in words is "forty-two trillion, one hundred thirty-five billion, one hundred sixty million, one hundred sixty-six thousand, six hundred forty".