42113433431124 has 144 divisors (see below), whose sum is σ = 116661991170816. Its totient is φ = 12703361433600.

The previous prime is 42113433431119. The next prime is 42113433431129.

42113433431124 is a `hidden beast` number, since 4 + 2 + 1 + 1 + 3 + 4 + 334 + 311 + 2 + 4 = 666.

42113433431124 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (42113433431119) and next prime (42113433431129).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42113433431129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150584629 + ... + 150864035.

It is an arithmetic number, because the mean of its divisors is an integer number (810152716464).

Almost surely, 2^{42113433431124} is an apocalyptic number.

42113433431124 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 42113433431124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58330995585408).

42113433431124 is an abundant number, since it is smaller than the sum of its proper divisors (74548557739692).

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

42113433431124 is a wasteful number, since it uses less digits than its factorization.

42113433431124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281166 (or 281161 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 4211343 and 3431124, that added together give a palindrome (7642467).

The spelling of 42113433431124 in words is "forty-two trillion, one hundred thirteen billion, four hundred thirty-three million, four hundred thirty-one thousand, one hundred twenty-four".