42162120000 has 2100 divisors, whose sum is σ = 210844583136. Its totient is φ = 8087040000.

The previous prime is 42162119981. The next prime is 42162120041. The reversal of 42162120000 is 2126124.

42162120000 is a `hidden beast` number, since 4 + 21 + 621 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2100).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 3243239994 + ... + 3243240006.

Almost surely, 2^42162120000 is an apocalyptic number.

42162120000 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 42162120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105422291568).

42162120000 is an abundant number, since it is smaller than the sum of its proper divisors (168682463136).

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

42162120000 is a wasteful number, since it uses less digits than its factorization.

42162120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 42162120000 its reverse (2126124), we get a palindrome (42164246124).

The spelling of 42162120000 in words is "forty-two billion, one hundred sixty-two million, one hundred twenty thousand".