42885140605200 has 360 divisors, whose sum is σ = 151817521751168. Its totient is φ = 11208245944320.

The previous prime is 42885140605183. The next prime is 42885140605201. The reversal of 42885140605200 is 250604158824.

42885140605200 is a `hidden beast` number, since 4 + 2 + 8 + 8 + 5 + 14 + 0 + 605 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (42885140605201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35371437 + ... + 36563763.

Almost surely, 2^{42885140605200} is an apocalyptic number.

42885140605200 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 42885140605200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75908760875584).

42885140605200 is an abundant number, since it is smaller than the sum of its proper divisors (108932381145968).

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

42885140605200 is a wasteful number, since it uses less digits than its factorization.

42885140605200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192551 (or 1192537 counting only the distinct ones).

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

The spelling of 42885140605200 in words is "forty-two trillion, eight hundred eighty-five billion, one hundred forty million, six hundred five thousand, two hundred".