42174144000000 has 2184 divisors, whose sum is σ = 166211180282160. Its totient is φ = 10262937600000.

The previous prime is 42174143999971. The next prime is 42174144000011. The reversal of 42174144000000 is 44147124.

42174144000000 is a `hidden beast` number, since 4 + 217 + 4 + 1 + 440 + 0 + 0 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 577727999964 + ... + 577728000036.

Almost surely, 2^{42174144000000} is an apocalyptic number.

42174144000000 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 42174144000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83105590141080).

42174144000000 is an abundant number, since it is smaller than the sum of its proper divisors (124037036282160).

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

42174144000000 is an frugal number, since it uses more digits than its factorization.

42174144000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

Adding to 42174144000000 its reverse (44147124), we get a palindrome (42174188147124).

The spelling of 42174144000000 in words is "forty-two trillion, one hundred seventy-four billion, one hundred forty-four million", and thus it is an aban number.