4142681088000 has 2688 divisors, whose sum is σ = 18110643707520. Its totient is φ = 832359628800.

The previous prime is 4142681087959. The next prime is 4142681088067. The reversal of 4142681088000 is 8801862414.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a hoax number, since the sum of its digits (42) 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 (42).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 56749055964 + ... + 56749056036.

It is an arithmetic number, because the mean of its divisors is an integer number (6737590665).

Almost surely, 2^{4142681088000} is an apocalyptic number.

4142681088000 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 4142681088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9055321853760).

4142681088000 is an abundant number, since it is smaller than the sum of its proper divisors (13967962619520).

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

4142681088000 is a wasteful number, since it uses less digits than its factorization.

4142681088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The spelling of 4142681088000 in words is "four trillion, one hundred forty-two billion, six hundred eighty-one million, eighty-eight thousand".