42361780500 has 288 divisors, whose sum is σ = 144261909792. Its totient is φ = 10402560000.

The previous prime is 42361780453. The next prime is 42361780501. The reversal of 42361780500 is 508716324.

42361780500 is a `hidden beast` number, since 4 + 23 + 61 + 78 + 0 + 500 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 17231287824 + 25130492676 = 131268^2 + 158526^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42361780501) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41007984 + ... + 41009016.

It is an arithmetic number, because the mean of its divisors is an integer number (500909409).

Almost surely, 2^42361780500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42361780500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72130954896).

42361780500 is an abundant number, since it is smaller than the sum of its proper divisors (101900129292).

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

42361780500 is a wasteful number, since it uses less digits than its factorization.

42361780500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 42361780500 in words is "forty-two billion, three hundred sixty-one million, seven hundred eighty thousand, five hundred".