9242816040000 has 735 divisors, whose sum is σ = 34424194218403. Its totient is φ = 2460373056000.

The previous prime is 9242816039993. The next prime is 9242816040053. The reversal of 9242816040000 is 406182429.

The square root of 9242816040000 is 3040200.

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

9242816040000 is a `hidden beast` number, since 9 + 2 + 42 + 8 + 1 + 604 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 724636777536 + 8518179262464 = 851256^2 + 2918592^2 .

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 104 ways as a sum of consecutive naturals, for example, 16417079719 + ... + 16417080281.

Almost surely, 2^{9242816040000} is an apocalyptic number.

9242816040000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9242816040000 is the 3040200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9242816040000

9242816040000 is an abundant number, since it is smaller than the sum of its proper divisors (25181378178403).

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

9242816040000 is an frugal number, since it uses more digits than its factorization.

9242816040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Multiplying 9242816040000 by its sum of digits (36), we get a square (332741377440000 = 18241200²).

9242816040000 divided by its sum of digits (36) gives a square (256744890000 = 506700²).

The spelling of 9242816040000 in words is "nine trillion, two hundred forty-two billion, eight hundred sixteen million, forty thousand".