42144211244124 has 72 divisors (see below), whose sum is σ = 116911758757248. Its totient is φ = 12694500191520.

The previous prime is 42144211244119. The next prime is 42144211244129.

42144211244124 is a `hidden beast` number, since 4 + 2 + 1 + 4 + 4 + 211 + 24 + 412 + 4 = 666.

42144211244124 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (42144211244119) and next prime (42144211244129).

It is a super-2 number, since 2×42144211244124² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42144211244129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318570922 + ... + 318703185.

It is an arithmetic number, because the mean of its divisors is an integer number (1623774427184).

Almost surely, 2^{42144211244124} is an apocalyptic number.

42144211244124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42144211244124 is an abundant number, since it is smaller than the sum of its proper divisors (74767547513124).

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

42144211244124 is a wasteful number, since it uses less digits than its factorization.

42144211244124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637274295 (or 637274290 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

It can be divided in two parts, 4214421 and 1244124, that added together give a palindrome (5458545).

The spelling of 42144211244124 in words is "forty-two trillion, one hundred forty-four billion, two hundred eleven million, two hundred forty-four thousand, one hundred twenty-four".