42821775360 has 1664 divisors, whose sum is σ = 200798760960. Its totient is φ = 8408530944.

The previous prime is 42821775343. The next prime is 42821775361. The reversal of 42821775360 is 6357712824.

42821775360 is a `hidden beast` number, since 4 + 2 + 8 + 217 + 75 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42821775361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1157345262 + ... + 1157345298.

Almost surely, 2^42821775360 is an apocalyptic number.

42821775360 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 42821775360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100399380480).

42821775360 is an abundant number, since it is smaller than the sum of its proper divisors (157976985600).

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

42821775360 is a wasteful number, since it uses less digits than its factorization.

42821775360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 42821775360 in words is "forty-two billion, eight hundred twenty-one million, seven hundred seventy-five thousand, three hundred sixty".