42338576280 has 768 divisors, whose sum is σ = 180627148800. Its totient is φ = 7688079360.

The previous prime is 42338576243. The next prime is 42338576333. The reversal of 42338576280 is 8267583324.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29668927 + ... + 29670353.

It is an arithmetic number, because the mean of its divisors is an integer number (235191600).

Almost surely, 2^42338576280 is an apocalyptic number.

42338576280 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 42338576280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90313574400).

42338576280 is an abundant number, since it is smaller than the sum of its proper divisors (138288572520).

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

42338576280 is a wasteful number, since it uses less digits than its factorization.

42338576280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 42338576280 in words is "forty-two billion, three hundred thirty-eight million, five hundred seventy-six thousand, two hundred eighty".