9409933117440 has 576 divisors, whose sum is σ = 35167194316800. Its totient is φ = 2319246950400.

The previous prime is 9409933117427. The next prime is 9409933117457. The reversal of 9409933117440 is 447113399049.

It is a tau number, because it is divible by the number of its divisors (576).

It is a zygodrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71727105 + ... + 71858175.

It is an arithmetic number, because the mean of its divisors is an integer number (61054156800).

Almost surely, 2^{9409933117440} is an apocalyptic number.

9409933117440 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 9409933117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17583597158400).

9409933117440 is an abundant number, since it is smaller than the sum of its proper divisors (25757261199360).

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

9409933117440 is a wasteful number, since it uses less digits than its factorization.

9409933117440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131164 (or 131141 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 9409933117440 in words is "nine trillion, four hundred nine billion, nine hundred thirty-three million, one hundred seventeen thousand, four hundred forty".