42115224096 has 288 divisors, whose sum is σ = 136288728576. Its totient is φ = 12220416000.

The previous prime is 42115224029. The next prime is 42115224197. The reversal of 42115224096 is 69042251124.

It is a happy number.

42115224096 is a `hidden beast` number, since 4 + 2 + 1 + 1 + 522 + 40 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42115224096.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9523966 + ... + 9528386.

It is an arithmetic number, because the mean of its divisors is an integer number (473224752).

Almost surely, 2^42115224096 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 42115224096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68144364288).

42115224096 is an abundant number, since it is smaller than the sum of its proper divisors (94173504480).

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

42115224096 is a wasteful number, since it uses less digits than its factorization.

42115224096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4576 (or 4565 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 42115224096 in words is "forty-two billion, one hundred fifteen million, two hundred twenty-four thousand, ninety-six".