42037300900 has 243 divisors, whose sum is σ = 110998329897. Its totient is φ = 13778016000.

The previous prime is 42037300889. The next prime is 42037300927. The reversal of 42037300900 is 900373024.

The square root of 42037300900 is 205030.

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

42037300900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 4080909924 + 37956390976 = 63882^2 + 194824^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 416210850 + ... + 416210950.

Almost surely, 2^42037300900 is an apocalyptic number.

42037300900 is the 205030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42037300900

42037300900 is an abundant number, since it is smaller than the sum of its proper divisors (68961028997).

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

42037300900 is a wasteful number, since it uses less digits than its factorization.

42037300900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

Adding to 42037300900 its reverse (900373024), we get a palindrome (42937673924).

The spelling of 42037300900 in words is "forty-two billion, thirty-seven million, three hundred thousand, nine hundred".