42167429000 has 128 divisors (see below), whose sum is σ = 105304043520. Its totient is φ = 15748992000.

The previous prime is 42167428939. The next prime is 42167429081. The reversal of 42167429000 is 92476124.

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, 2149235 + ... + 2168765.

It is an arithmetic number, because the mean of its divisors is an integer number (822687840).

Almost surely, 2^42167429000 is an apocalyptic number.

42167429000 is a gapful number since it is divisible by the number (40) 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 42167429000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52652021760).

42167429000 is an abundant number, since it is smaller than the sum of its proper divisors (63136614520).

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

42167429000 is a wasteful number, since it uses less digits than its factorization.

42167429000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19696 (or 19682 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 42167429000 in words is "forty-two billion, one hundred sixty-seven million, four hundred twenty-nine thousand".