42255512208 has 360 divisors, whose sum is σ = 149645406456. Its totient is φ = 11031552000.

The previous prime is 42255512191. The next prime is 42255512219. The reversal of 42255512208 is 80221555224.

42255512208 is a `hidden beast` number, since 422 + 5 + 5 + 5 + 1 + 220 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6597987984 + 35657524224 = 81228^2 + 188832^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9262248 + ... + 9266808.

Almost surely, 2^42255512208 is an apocalyptic number.

42255512208 is a gapful number since it is divisible by the number (48) 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 42255512208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74822703228).

42255512208 is an abundant number, since it is smaller than the sum of its proper divisors (107389894248).

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

42255512208 is a wasteful number, since it uses less digits than its factorization.

42255512208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4703 (or 4687 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 42255512208 in words is "forty-two billion, two hundred fifty-five million, five hundred twelve thousand, two hundred eight".