42429044092424 has 64 divisors (see below), whose sum is σ = 87987242442240. Its totient is φ = 19019208015360.

The previous prime is 42429044092403. The next prime is 42429044092427.

42429044092424 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (42429044092427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48277694 + ... + 49148690.

It is an arithmetic number, because the mean of its divisors is an integer number (1374800663160).

Almost surely, 2^{42429044092424} is an apocalyptic number.

42429044092424 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 42429044092424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43993621221120).

42429044092424 is an abundant number, since it is smaller than the sum of its proper divisors (45558198349816).

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

42429044092424 is a wasteful number, since it uses less digits than its factorization.

42429044092424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878670 (or 878666 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 50.

The spelling of 42429044092424 in words is "forty-two trillion, four hundred twenty-nine billion, forty-four million, ninety-two thousand, four hundred twenty-four".