9040033321920 has 448 divisors, whose sum is σ = 33292434954240. Its totient is φ = 2304849862656.

The previous prime is 9040033321909. The next prime is 9040033321931. The reversal of 9040033321920 is 291233300409.

9040033321920 is a `hidden beast` number, since 9 + 0 + 400 + 3 + 33 + 219 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9040033321909) and next prime (9040033321931).

It is a super-2 number, since 2×9040033321920² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 520041549 + ... + 520058931.

It is an arithmetic number, because the mean of its divisors is an integer number (74313470880).

Almost surely, 2^{9040033321920} is an apocalyptic number.

9040033321920 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 9040033321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16646217477120).

9040033321920 is an abundant number, since it is smaller than the sum of its proper divisors (24252401632320).

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

9040033321920 is a wasteful number, since it uses less digits than its factorization.

9040033321920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20049 (or 20033 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 9040033321920 in words is "nine trillion, forty billion, thirty-three million, three hundred twenty-one thousand, nine hundred twenty".