42311808000 has 1760 divisors, whose sum is σ = 200305467648. Its totient is φ = 8626176000.

The previous prime is 42311807983. The next prime is 42311808001. The reversal of 42311808000 is 80811324.

42311808000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42311808001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 798335974 + ... + 798336026.

Almost surely, 2^42311808000 is an apocalyptic number.

42311808000 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 42311808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100152733824).

42311808000 is an abundant number, since it is smaller than the sum of its proper divisors (157993659648).

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

42311808000 is a wasteful number, since it uses less digits than its factorization.

42311808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 42311808000 in words is "forty-two billion, three hundred eleven million, eight hundred eight thousand".