42815995200 has 504 divisors, whose sum is σ = 171580129280. Its totient is φ = 10378368000.

The previous prime is 42815995199. The next prime is 42815995231. The reversal of 42815995200 is 259951824.

It is a happy number.

42815995200 is a `hidden beast` number, since 4 + 2 + 8 + 1 + 599 + 52 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 5223105 + ... + 5231295.

Almost surely, 2^42815995200 is an apocalyptic number.

42815995200 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 42815995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85790064640).

42815995200 is an abundant number, since it is smaller than the sum of its proper divisors (128764134080).

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

42815995200 is a wasteful number, since it uses less digits than its factorization.

42815995200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8244 (or 8212 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 42815995200 in words is "forty-two billion, eight hundred fifteen million, nine hundred ninety-five thousand, two hundred".