9442008900 has 243 divisors, whose sum is σ = 30723745143. Its totient is φ = 2425363200.

The previous prime is 9442008871. The next prime is 9442008943. The reversal of 9442008900 is 98002449.

It is a happy number.

The square root of 9442008900 is 97170.

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 3974293764 + 5467715136 = 63042^2 + 73944^2 .

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 80 ways as a sum of consecutive naturals, for example, 119519061 + ... + 119519139.

Almost surely, 2^9442008900 is an apocalyptic number.

9442008900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9442008900 is the 97170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9442008900

9442008900 is an abundant number, since it is smaller than the sum of its proper divisors (21281736243).

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

9442008900 is a wasteful number, since it uses less digits than its factorization.

9442008900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The cubic root of 9442008900 is about 2113.5935185589.

Multiplying 9442008900 by its sum of digits (36), we get a square (339912320400 = 583020²).

9442008900 divided by its sum of digits (36) gives a square (262278025 = 16195²).

Multiplying 9442008900 by its product of nonzero digits (20736), we get a square (195789496550400 = 13992480²).

The spelling of 9442008900 in words is "nine billion, four hundred forty-two million, eight thousand, nine hundred".