42142224124 has 144 divisors (see below), whose sum is σ = 105022758400. Its totient is φ = 14358072960.

The previous prime is 42142224109. The next prime is 42142224133.

It is a happy number.

42142224124 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42142224092 and 42142224101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 811657 + ... + 862015.

Almost surely, 2^42142224124 is an apocalyptic number.

42142224124 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 42142224124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52511379200).

42142224124 is an abundant number, since it is smaller than the sum of its proper divisors (62880534276).

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

42142224124 is a wasteful number, since it uses less digits than its factorization.

42142224124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50424 (or 50411 counting only the distinct ones).

The product of its digits is 8192, while the sum is 28.

The spelling of 42142224124 in words is "forty-two billion, one hundred forty-two million, two hundred twenty-four thousand, one hundred twenty-four".