42213155131224 has 384 divisors, whose sum is σ = 143528450457600. Its totient is φ = 10888371060480.

The previous prime is 42213155131223. The next prime is 42213155131247.

42213155131224 is a `hidden beast` number, since 4 + 2 + 2 + 1 + 3 + 15 + 513 + 122 + 4 = 666.

42213155131224 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42213155131224² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (42213155131223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1155778227 + ... + 1155814749.

It is an arithmetic number, because the mean of its divisors is an integer number (373772006400).

Almost surely, 2^{42213155131224} is an apocalyptic number.

42213155131224 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 42213155131224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71764225228800).

42213155131224 is an abundant number, since it is smaller than the sum of its proper divisors (101315295326376).

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

42213155131224 is a wasteful number, since it uses less digits than its factorization.

42213155131224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37995 (or 37988 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

It can be divided in two parts, 4221315 and 5131224, that added together give a palindrome (9352539).

The spelling of 42213155131224 in words is "forty-two trillion, two hundred thirteen billion, one hundred fifty-five million, one hundred thirty-one thousand, two hundred twenty-four".