42535378800 has 480 divisors, whose sum is σ = 159030892800. Its totient is φ = 10782858240.

The previous prime is 42535378763. The next prime is 42535378811. The reversal of 42535378800 is 887353524.

42535378800 is a `hidden beast` number, since 4 + 2 + 535 + 37 + 8 + 80 + 0 = 666.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20983387 + ... + 20985413.

It is an arithmetic number, because the mean of its divisors is an integer number (331314360).

Almost surely, 2^42535378800 is an apocalyptic number.

42535378800 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 42535378800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79515446400).

42535378800 is an abundant number, since it is smaller than the sum of its proper divisors (116495514000).

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

42535378800 is a wasteful number, since it uses less digits than its factorization.

42535378800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 42535378800 in words is "forty-two billion, five hundred thirty-five million, three hundred seventy-eight thousand, eight hundred".