9238380026400 has 3456 divisors, whose sum is σ = 43338706145280. Its totient is φ = 1870898135040.

The previous prime is 9238380026399. The next prime is 9238380026479. The reversal of 9238380026400 is 46200838329.

9238380026400 is a `hidden beast` number, since 9 + 2 + 3 + 8 + 380 + 0 + 264 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 575 ways as a sum of consecutive naturals, for example, 51611061511 + ... + 51611061689.

It is an arithmetic number, because the mean of its divisors is an integer number (12540134880).

Almost surely, 2^{9238380026400} is an apocalyptic number.

9238380026400 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 9238380026400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21669353072640).

9238380026400 is an abundant number, since it is smaller than the sum of its proper divisors (34100326118880).

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

9238380026400 is a wasteful number, since it uses less digits than its factorization.

9238380026400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 9238380026400 in words is "nine trillion, two hundred thirty-eight billion, three hundred eighty million, twenty-six thousand, four hundred".