9002142643200 has 792 divisors, whose sum is σ = 34758394070400. Its totient is φ = 2048818544640.

The previous prime is 9002142643189. The next prime is 9002142643211. The reversal of 9002142643200 is 23462412009.

It is an interprime number because it is at equal distance from previous prime (9002142643189) and next prime (9002142643211).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 899399796 + ... + 899409804.

It is an arithmetic number, because the mean of its divisors is an integer number (43886861200).

Almost surely, 2^{9002142643200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9002142643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17379197035200).

9002142643200 is an abundant number, since it is smaller than the sum of its proper divisors (25756251427200).

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

9002142643200 is a wasteful number, since it uses less digits than its factorization.

9002142643200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10295 (or 10265 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 9002142643200 in words is "nine trillion, two billion, one hundred forty-two million, six hundred forty-three thousand, two hundred".