9428038467840 has 360 divisors, whose sum is σ = 34044784222680. Its totient is φ = 2491075067904.

The previous prime is 9428038467821. The next prime is 9428038467851. The reversal of 9428038467840 is 487648308249.

9428038467840 is a `hidden beast` number, since 9 + 42 + 80 + 384 + 67 + 84 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1007084503296 + 8420953964544 = 1003536^2 + 2901888^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10883992 + ... + 11718248.

It is an arithmetic number, because the mean of its divisors is an integer number (94568845063).

Almost surely, 2^{9428038467840} is an apocalyptic number.

9428038467840 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 9428038467840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17022392111340).

9428038467840 is an abundant number, since it is smaller than the sum of its proper divisors (24616745754840).

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

9428038467840 is a wasteful number, since it uses less digits than its factorization.

9428038467840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834399 (or 834376 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 9428038467840 in words is "nine trillion, four hundred twenty-eight billion, thirty-eight million, four hundred sixty-seven thousand, eight hundred forty".