9241934768640 has 1280 divisors, whose sum is σ = 38065420800000. Its totient is φ = 2081828044800.

The previous prime is 9241934768609. The next prime is 9241934768669. The reversal of 9241934768640 is 468674391429.

It is a happy number.

9241934768640 is a `hidden beast` number, since 9 + 2 + 41 + 9 + 3 + 476 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 127 ways as a sum of consecutive naturals, for example, 18520911111 + ... + 18520911609.

It is an arithmetic number, because the mean of its divisors is an integer number (29738610000).

Almost surely, 2^{9241934768640} is an apocalyptic number.

9241934768640 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 9241934768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19032710400000).

9241934768640 is an abundant number, since it is smaller than the sum of its proper divisors (28823486031360).

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

9241934768640 is a wasteful number, since it uses less digits than its factorization.

9241934768640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 9241934768640 in words is "nine trillion, two hundred forty-one billion, nine hundred thirty-four million, seven hundred sixty-eight thousand, six hundred forty".