9429120000 has 330 divisors, whose sum is σ = 34042866858. Its totient is φ = 2512896000.

The previous prime is 9429119993. The next prime is 9429120011. The reversal of 9429120000 is 219249.

It can be written as a sum of positive squares in 5 ways, for example, as 6518301696 + 2910818304 = 80736^2 + 53952^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5759182 + ... + 5760818.

Almost surely, 2^9429120000 is an apocalyptic number.

9429120000 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 9429120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17021433429).

9429120000 is an abundant number, since it is smaller than the sum of its proper divisors (24613746858).

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

9429120000 is a wasteful number, since it uses less digits than its factorization.

9429120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 9429120000 is about 97103.6559558908. The cubic root of 9429120000 is about 2112.6313539462.

Adding to 9429120000 its reverse (219249), we get a palindrome (9429339249).

The spelling of 9429120000 in words is "nine billion, four hundred twenty-nine million, one hundred twenty thousand".