9073386824040 has 768 divisors, whose sum is σ = 38047334307840. Its totient is φ = 1820392704000.

The previous prime is 9073386823933. The next prime is 9073386824111. The reversal of 9073386824040 is 404286833709.

9073386824040 is a `hidden beast` number, since 9 + 0 + 7 + 338 + 68 + 240 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 134325075 + ... + 134392605.

It is an arithmetic number, because the mean of its divisors is an integer number (49540799880).

Almost surely, 2^{9073386824040} is an apocalyptic number.

9073386824040 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 9073386824040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19023667153920).

9073386824040 is an abundant number, since it is smaller than the sum of its proper divisors (28973947483800).

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

9073386824040 is a wasteful number, since it uses less digits than its factorization.

9073386824040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67734 (or 67727 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 9073386824040 in words is "nine trillion, seventy-three billion, three hundred eighty-six million, eight hundred twenty-four thousand, forty".