42815808000 has 1440 divisors, whose sum is σ = 188734513968. Its totient is φ = 9289728000.

The previous prime is 42815807989. The next prime is 42815808029. The reversal of 42815808000 is 80851824.

42815808000 is a `hidden beast` number, since 428 + 158 + 0 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 669360384 + 42146447616 = 25872^2 + 205296^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1044287980 + ... + 1044288020.

Almost surely, 2^42815808000 is an apocalyptic number.

42815808000 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 42815808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94367256984).

42815808000 is an abundant number, since it is smaller than the sum of its proper divisors (145918705968).

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

42815808000 is a wasteful number, since it uses less digits than its factorization.

42815808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 42815808000 in words is "forty-two billion, eight hundred fifteen million, eight hundred eight thousand".