9401390208 has 384 divisors, whose sum is σ = 32559770880. Its totient is φ = 2545754112.

The previous prime is 9401390197. The next prime is 9401390227. The reversal of 9401390208 is 8020931049.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×9401390208² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32086510 + ... + 32086802.

It is an arithmetic number, because the mean of its divisors is an integer number (84791070).

Almost surely, 2^9401390208 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 9401390208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16279885440).

9401390208 is an abundant number, since it is smaller than the sum of its proper divisors (23158380672).

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

9401390208 is a wasteful number, since it uses less digits than its factorization.

9401390208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9401390208 is about 96960.7663336053. The cubic root of 9401390208 is about 2110.5583308666.

The spelling of 9401390208 in words is "nine billion, four hundred one million, three hundred ninety thousand, two hundred eight".