42535531200 has 168 divisors, whose sum is σ = 142798076608. Its totient is φ = 11078968320.

The previous prime is 42535531193. The next prime is 42535531271. The reversal of 42535531200 is 213553524.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103359 + ... + 309441.

Almost surely, 2^42535531200 is an apocalyptic number.

42535531200 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 42535531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71399038304).

42535531200 is an abundant number, since it is smaller than the sum of its proper divisors (100262545408).

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

42535531200 is a wasteful number, since it uses less digits than its factorization.

42535531200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206151 (or 206136 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 42535531200 in words is "forty-two billion, five hundred thirty-five million, five hundred thirty-one thousand, two hundred".