42147705600 has 2592 divisors, whose sum is σ = 219204969984. Its totient is φ = 7431782400.

The previous prime is 42147705581. The next prime is 42147705659. The reversal of 42147705600 is 650774124.

42147705600 is a `hidden beast` number, since 4 + 2 + 1 + 47 + 7 + 0 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 980179179 + ... + 980179221.

Almost surely, 2^42147705600 is an apocalyptic number.

42147705600 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 42147705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109602484992).

42147705600 is an abundant number, since it is smaller than the sum of its proper divisors (177057264384).

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

42147705600 is a wasteful number, since it uses less digits than its factorization.

42147705600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

It can be divided in two parts, 42147 and 705600, that added together give a palindrome (747747).

The spelling of 42147705600 in words is "forty-two billion, one hundred forty-seven million, seven hundred five thousand, six hundred".