9040075129800 has 960 divisors, whose sum is σ = 36928802655360. Its totient is φ = 2020640256000.

The previous prime is 9040075129753. The next prime is 9040075129817. The reversal of 9040075129800 is 89215700409.

9040075129800 is a `hidden beast` number, since 9 + 0 + 40 + 0 + 7 + 512 + 98 + 0 + 0 = 666.

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 239 ways as a sum of consecutive naturals, for example, 2763702165 + ... + 2763705435.

It is an arithmetic number, because the mean of its divisors is an integer number (38467502766).

Almost surely, 2^{9040075129800} is an apocalyptic number.

9040075129800 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 9040075129800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18464401327680).

9040075129800 is an abundant number, since it is smaller than the sum of its proper divisors (27888727525560).

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

9040075129800 is a wasteful number, since it uses less digits than its factorization.

9040075129800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4516 (or 4498 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 9040075129800 in words is "nine trillion, forty billion, seventy-five million, one hundred twenty-nine thousand, eight hundred".