9042969600 has 990 divisors, whose sum is σ = 39389663610. Its totient is φ = 2043740160.

The previous prime is 9042969581. The next prime is 9042969641. The reversal of 9042969600 is 69692409.

It can be written as a sum of positive squares in 3 ways, for example, as 65028096 + 8977941504 = 8064^2 + 94752^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 101606356 + ... + 101606444.

It is an arithmetic number, because the mean of its divisors is an integer number (39787539).

Almost surely, 2^9042969600 is an apocalyptic number.

9042969600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9042969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19694831805).

9042969600 is an abundant number, since it is smaller than the sum of its proper divisors (30346694010).

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

9042969600 is a wasteful number, since it uses less digits than its factorization.

9042969600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 9042969600 is about 95094.5298111306. The cubic root of 9042969600 is about 2083.3889526840.

The spelling of 9042969600 in words is "nine billion, forty-two million, nine hundred sixty-nine thousand, six hundred".