42855321600 has 1404 divisors, whose sum is σ = 194929057596. Its totient is φ = 8918138880.

The previous prime is 42855321589. The next prime is 42855321631. The reversal of 42855321600 is 612355824.

42855321600 is a `hidden beast` number, since 4 + 28 + 5 + 5 + 3 + 21 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3822206976 + 39033114624 = 61824^2 + 197568^2 .

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 107 ways as a sum of consecutive naturals, for example, 587059164 + ... + 587059236.

Almost surely, 2^42855321600 is an apocalyptic number.

42855321600 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 42855321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97464528798).

42855321600 is an abundant number, since it is smaller than the sum of its proper divisors (152073735996).

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

42855321600 is a wasteful number, since it uses less digits than its factorization.

42855321600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 42855321600 in words is "forty-two billion, eight hundred fifty-five million, three hundred twenty-one thousand, six hundred".