42264279288 has 864 divisors, whose sum is σ = 161592537600. Its totient is φ = 9830419200.

The previous prime is 42264279227. The next prime is 42264279301. The reversal of 42264279288 is 88297246224.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 982890195 + ... + 982890237.

It is an arithmetic number, because the mean of its divisors is an integer number (187028400).

Almost surely, 2^42264279288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42264279288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80796268800).

42264279288 is an abundant number, since it is smaller than the sum of its proper divisors (119328258312).

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

42264279288 is a wasteful number, since it uses less digits than its factorization.

42264279288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 116 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 42264279288 in words is "forty-two billion, two hundred sixty-four million, two hundred seventy-nine thousand, two hundred eighty-eight".