9424408976640 has 576 divisors, whose sum is σ = 38705105510400. Its totient is φ = 2126878580736.

The previous prime is 9424408976629. The next prime is 9424408976701. The reversal of 9424408976640 is 466798044249.

9424408976640 is a `hidden beast` number, since 9 + 4 + 2 + 440 + 8 + 97 + 66 + 40 = 666.

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

It is a super-2 number, since 2×9424408976640² (a number of 27 digits) contains 22 as substring.

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

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, 18865119 + ... + 19358241.

Almost surely, 2^{9424408976640} is an apocalyptic number.

9424408976640 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 9424408976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19352552755200).

9424408976640 is an abundant number, since it is smaller than the sum of its proper divisors (29280696533760).

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

9424408976640 is a wasteful number, since it uses less digits than its factorization.

9424408976640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493239 (or 493219 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 9424408976640 in words is "nine trillion, four hundred twenty-four billion, four hundred eight million, nine hundred seventy-six thousand, six hundred forty".