42355882800 has 1440 divisors, whose sum is σ = 197878049280. Its totient is φ = 8356608000.

The previous prime is 42355882781. The next prime is 42355882817. The reversal of 42355882800 is 828855324.

42355882800 is a `hidden beast` number, since 42 + 3 + 5 + 588 + 28 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 799167574 + ... + 799167626.

It is an arithmetic number, because the mean of its divisors is an integer number (137415312).

Almost surely, 2^42355882800 is an apocalyptic number.

42355882800 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 42355882800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98939024640).

42355882800 is an abundant number, since it is smaller than the sum of its proper divisors (155522166480).

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

42355882800 is a wasteful number, since it uses less digits than its factorization.

42355882800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 42355882800 in words is "forty-two billion, three hundred fifty-five million, eight hundred eighty-two thousand, eight hundred".