42164144146124 has 216 divisors, whose sum is σ = 102398179783536. Its totient is φ = 15013776960000.

The previous prime is 42164144146093. The next prime is 42164144146169.

42164144146124 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36227894 + ... + 37373634.

It is an arithmetic number, because the mean of its divisors is an integer number (474065647146).

Almost surely, 2^{42164144146124} is an apocalyptic number.

42164144146124 is a gapful number since it is divisible by the number (44) 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 42164144146124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51199089891768).

42164144146124 is an abundant number, since it is smaller than the sum of its proper divisors (60234035637412).

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

42164144146124 is a wasteful number, since it uses less digits than its factorization.

42164144146124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145897 (or 1145875 counting only the distinct ones).

The product of its digits is 589824, while the sum is 44.

The spelling of 42164144146124 in words is "forty-two trillion, one hundred sixty-four billion, one hundred forty-four million, one hundred forty-six thousand, one hundred twenty-four".