9401221408 has 96 divisors (see below), whose sum is σ = 20434208256. Its totient is φ = 4239126528.

The previous prime is 9401221309. The next prime is 9401221409. The reversal of 9401221408 is 8041221049.

It is a self number, because there is not a number n which added to its sum of digits gives 9401221408.

It is not an unprimeable number, because it can be changed into a prime (9401221409) 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 15 ways as a sum of consecutive naturals, for example, 1235985 + ... + 1243567.

It is an arithmetic number, because the mean of its divisors is an integer number (212856336).

Almost surely, 2^9401221408 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 9401221408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10217104128).

9401221408 is an abundant number, since it is smaller than the sum of its proper divisors (11032986848).

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

9401221408 is a wasteful number, since it uses less digits than its factorization.

9401221408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7706 (or 7698 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 9401221408 is about 96959.8958745315. The cubic root of 9401221408 is about 2110.5456992462.

The spelling of 9401221408 in words is "nine billion, four hundred one million, two hundred twenty-one thousand, four hundred eight".