9400540320 has 384 divisors, whose sum is σ = 36676281600. Its totient is φ = 2234843136.

The previous prime is 9400540313. The next prime is 9400540351. The reversal of 9400540320 is 230450049.

9400540320 is a `hidden beast` number, since 94 + 0 + 0 + 540 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1391992 + ... + 1398728.

It is an arithmetic number, because the mean of its divisors is an integer number (95511150).

Almost surely, 2^9400540320 is an apocalyptic number.

9400540320 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 9400540320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18338140800).

9400540320 is an abundant number, since it is smaller than the sum of its proper divisors (27275741280).

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

9400540320 is a wasteful number, since it uses less digits than its factorization.

9400540320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6797 (or 6783 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 9400540320 is about 96956.3835959242. The cubic root of 9400540320 is about 2110.4947306184.

Adding to 9400540320 its reverse (230450049), we get a palindrome (9630990369).

The spelling of 9400540320 in words is "nine billion, four hundred million, five hundred forty thousand, three hundred twenty".