42355200096 has 216 divisors, whose sum is σ = 132753256272. Its totient is φ = 12799987200.

The previous prime is 42355200071. The next prime is 42355200113. The reversal of 42355200096 is 69000255324.

42355200096 is a `hidden beast` number, since 42 + 3 + 5 + 520 + 0 + 0 + 96 = 666.

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 42355200096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14669565 + ... + 14672451.

Almost surely, 2^42355200096 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 42355200096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66376628136).

42355200096 is an abundant number, since it is smaller than the sum of its proper divisors (90398056176).

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

42355200096 is a wasteful number, since it uses less digits than its factorization.

42355200096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3346 (or 3324 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 42355200096 in words is "forty-two billion, three hundred fifty-five million, two hundred thousand, ninety-six".