42041144114024 has 64 divisors (see below), whose sum is σ = 86852437531200. Its totient is φ = 18918714112000.

The previous prime is 42041144113963. The next prime is 42041144114033.

42041144114024 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42041144114024² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101908379 + ... + 102320085.

It is an arithmetic number, because the mean of its divisors is an integer number (1357069336425).

Almost surely, 2^{42041144114024} is an apocalyptic number.

42041144114024 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 42041144114024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43426218765600).

42041144114024 is an abundant number, since it is smaller than the sum of its proper divisors (44811293417176).

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

42041144114024 is a wasteful number, since it uses less digits than its factorization.

42041144114024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423314 (or 423310 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

It can be divided in two parts, 4204114 and 4114024, that added together give a palindrome (8318138).

The spelling of 42041144114024 in words is "forty-two trillion, forty-one billion, one hundred forty-four million, one hundred fourteen thousand, twenty-four".