42292122129224 has 128 divisors (see below), whose sum is σ = 91197163008000. Its totient is φ = 18184424832000.

The previous prime is 42292122129217. The next prime is 42292122129253.

42292122129224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3966244517 + ... + 3966255179.

It is an arithmetic number, because the mean of its divisors is an integer number (712477836000).

Almost surely, 2^{42292122129224} is an apocalyptic number.

42292122129224 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 42292122129224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45598581504000).

42292122129224 is an abundant number, since it is smaller than the sum of its proper divisors (48905040878776).

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

42292122129224 is a wasteful number, since it uses less digits than its factorization.

42292122129224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14059 (or 14055 counting only the distinct ones).

The product of its digits is 331776, while the sum is 44.

The spelling of 42292122129224 in words is "forty-two trillion, two hundred ninety-two billion, one hundred twenty-two million, one hundred twenty-nine thousand, two hundred twenty-four".