42114332133324 has 96 divisors (see below), whose sum is σ = 121881271438080. Its totient is φ = 12465130003200.

The previous prime is 42114332133323. The next prime is 42114332133337. The reversal of 42114332133324 is 42333123341124.

42114332133324 is a `hidden beast` number, since 4 + 2 + 1 + 1 + 4 + 3 + 321 + 3 + 3 + 324 = 666.

It is a super-2 number, since 2×42114332133324² (a number of 28 digits) contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (42114332133323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412155597 + ... + 412257764.

It is an arithmetic number, because the mean of its divisors is an integer number (1269596577480).

Almost surely, 2^{42114332133324} is an apocalyptic number.

42114332133324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42114332133324 is an abundant number, since it is smaller than the sum of its proper divisors (79766939304756).

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

42114332133324 is a wasteful number, since it uses less digits than its factorization.

42114332133324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824413428 (or 824413420 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

Adding to 42114332133324 its reverse (42333123341124), we get a palindrome (84447455474448).

The spelling of 42114332133324 in words is "forty-two trillion, one hundred fourteen billion, three hundred thirty-two million, one hundred thirty-three thousand, three hundred twenty-four".