42141033014124 has 48 divisors (see below), whose sum is σ = 107395936623360. Its totient is φ = 12754789458240.

The previous prime is 42141033014107. The next prime is 42141033014131.

It is a happy number.

42141033014124 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42141033014091 and 42141033014100.

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, 190145659 + ... + 190367154.

It is an arithmetic number, because the mean of its divisors is an integer number (2237415346320).

Almost surely, 2^{42141033014124} is an apocalyptic number.

42141033014124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42141033014124 is an abundant number, since it is smaller than the sum of its proper divisors (65254903609236).

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

42141033014124 is a wasteful number, since it uses less digits than its factorization.

42141033014124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380513670 (or 380513668 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 4214103 and 3014124, that added together give a palindrome (7228227).

The spelling of 42141033014124 in words is "forty-two trillion, one hundred forty-one billion, thirty-three million, fourteen thousand, one hundred twenty-four".