42341292900 has 189 divisors, whose sum is σ = 140089565161. Its totient is φ = 10696747680.

The previous prime is 42341292887. The next prime is 42341292911. The reversal of 42341292900 is 929214324.

The square root of 42341292900 is 205770.

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

42341292900 is a `hidden beast` number, since 4 + 2 + 341 + 29 + 290 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15242865444 + 27098427456 = 123462^2 + 164616^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2228489091 + ... + 2228489109.

Almost surely, 2^42341292900 is an apocalyptic number.

42341292900 is the 205770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42341292900

42341292900 is an abundant number, since it is smaller than the sum of its proper divisors (97748272261).

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

42341292900 is an frugal number, since it uses more digits than its factorization.

42341292900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Multiplying 42341292900 by its sum of digits (36), we get a square (1524286544400 = 1234620²).

42341292900 divided by its sum of digits (36) gives a square (1176147025 = 34295²).

It can be divided in two parts, 42341 and 292900, that added together give a square (335241 = 579²).

The spelling of 42341292900 in words is "forty-two billion, three hundred forty-one million, two hundred ninety-two thousand, nine hundred".