42125411452124 has 192 divisors, whose sum is σ = 101169736335360. Its totient is φ = 14818417585920.

The previous prime is 42125411452099. The next prime is 42125411452141.

42125411452124 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42125411452124² (a number of 28 digits) contains 22 as substring.

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, 33223499 + ... + 34468125.

It is an arithmetic number, because the mean of its divisors is an integer number (526925710080).

Almost surely, 2^{42125411452124} is an apocalyptic number.

42125411452124 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 42125411452124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50584868167680).

42125411452124 is an abundant number, since it is smaller than the sum of its proper divisors (59044324883236).

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

42125411452124 is a wasteful number, since it uses less digits than its factorization.

42125411452124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244848 (or 1244846 counting only the distinct ones).

The product of its digits is 102400, while the sum is 38.

It can be divided in two parts, 4212541 and 1452124, that added together give a palindrome (5664665).

The spelling of 42125411452124 in words is "forty-two trillion, one hundred twenty-five billion, four hundred eleven million, four hundred fifty-two thousand, one hundred twenty-four".