42362785168900 has 405 divisors, whose sum is σ = 110526711794079. Its totient is φ = 14092468145280.

The previous prime is 42362785168897. The next prime is 42362785168993. The reversal of 42362785168900 is 986158726324.

The square root of 42362785168900 is 6508670.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4021524879876 + 38341260289024 = 2005374^2 + 6192032^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 118002186921 + ... + 118002187279.

It is a 1-persistent number, because it is pandigital, but 2⋅42362785168900 = 84725570337800 is not.

Almost surely, 2^{42362785168900} is an apocalyptic number.

42362785168900 is the 6508670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42362785168900

42362785168900 is an abundant number, since it is smaller than the sum of its proper divisors (68163926625179).

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

42362785168900 is an frugal number, since it uses more digits than its factorization.

42362785168900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 61.

The spelling of 42362785168900 in words is "forty-two trillion, three hundred sixty-two billion, seven hundred eighty-five million, one hundred sixty-eight thousand, nine hundred".