9042030000000 has 1152 divisors, whose sum is σ = 34290738387360. Its totient is φ = 2371680000000.

The previous prime is 9042029999983. The next prime is 9042030000011. The reversal of 9042030000000 is 302409.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 148229999970 + ... + 148230000030.

Almost surely, 2^{9042030000000} is an apocalyptic number.

9042030000000 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 9042030000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17145369193680).

9042030000000 is an abundant number, since it is smaller than the sum of its proper divisors (25248708387360).

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

9042030000000 is an frugal number, since it uses more digits than its factorization.

9042030000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 9042030000000 its reverse (302409), we get a palindrome (9042030302409).

The spelling of 9042030000000 in words is "nine trillion, forty-two billion, thirty million", and thus it is an aban number and an uban number.