9428386598400 has 2880 divisors, whose sum is σ = 41887561453056. Its totient is φ = 1830607257600.

The previous prime is 9428386598387. The next prime is 9428386598401. The reversal of 9428386598400 is 48956838249.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9428386598401) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 129155980764 + ... + 129155980836.

Almost surely, 2^{9428386598400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9428386598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20943780726528).

9428386598400 is an abundant number, since it is smaller than the sum of its proper divisors (32459174854656).

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

9428386598400 is a wasteful number, since it uses less digits than its factorization.

9428386598400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 66.

The spelling of 9428386598400 in words is "nine trillion, four hundred twenty-eight billion, three hundred eighty-six million, five hundred ninety-eight thousand, four hundred".