42127043868000 has 1536 divisors, whose sum is σ = 199831664148480. Its totient is φ = 8365466419200.

The previous prime is 42127043867971. The next prime is 42127043868001. The reversal of 42127043868000 is 86834072124.

It is a happy number.

42127043868000 is a `hidden beast` number, since 421 + 2 + 70 + 4 + 3 + 86 + 80 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42127043868001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 166949929 + ... + 167202071.

It is an arithmetic number, because the mean of its divisors is an integer number (130098739680).

Almost surely, 2^{42127043868000} is an apocalyptic number.

42127043868000 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 42127043868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99915832074240).

42127043868000 is an abundant number, since it is smaller than the sum of its proper divisors (157704620280480).

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

42127043868000 is a wasteful number, since it uses less digits than its factorization.

42127043868000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252214 (or 252190 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 42127043868000 in words is "forty-two trillion, one hundred twenty-seven billion, forty-three million, eight hundred sixty-eight thousand".