9401221440 has 336 divisors, whose sum is σ = 34983316368. Its totient is φ = 2303557632.

The previous prime is 9401221439. The next prime is 9401221447. The reversal of 9401221440 is 441221049.

It is a happy number.

9401221440 is a `hidden beast` number, since 9 + 401 + 2 + 214 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 644753664 + 8756467776 = 25392^2 + 93576^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9401221447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10969492 + ... + 10970348.

It is an arithmetic number, because the mean of its divisors is an integer number (104117013).

Almost surely, 2^9401221440 is an apocalyptic number.

9401221440 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 9401221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17491658184).

9401221440 is an abundant number, since it is smaller than the sum of its proper divisors (25582094928).

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

9401221440 is a wasteful number, since it uses less digits than its factorization.

9401221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 9401221440 is about 96959.8960395482. The cubic root of 9401221440 is about 2110.5457016408.

Adding to 9401221440 its reverse (441221049), we get a palindrome (9842442489).

The spelling of 9401221440 in words is "nine billion, four hundred one million, two hundred twenty-one thousand, four hundred forty".