42163133136124 has 192 divisors, whose sum is σ = 100072272513024. Its totient is φ = 15010012800000.

The previous prime is 42163133136107. The next prime is 42163133136191.

42163133136124 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2354026729 + ... + 2354044639.

It is an arithmetic number, because the mean of its divisors is an integer number (521209752672).

Almost surely, 2^{42163133136124} is an apocalyptic number.

42163133136124 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 42163133136124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50036136256512).

42163133136124 is an abundant number, since it is smaller than the sum of its proper divisors (57909139376900).

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

42163133136124 is a wasteful number, since it uses less digits than its factorization.

42163133136124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23868 (or 23866 counting only the distinct ones).

The product of its digits is 186624, while the sum is 40.

The spelling of 42163133136124 in words is "forty-two trillion, one hundred sixty-three billion, one hundred thirty-three million, one hundred thirty-six thousand, one hundred twenty-four".