9344140416 has 192 divisors, whose sum is σ = 30482088000. Its totient is φ = 2723715072.

The previous prime is 9344140387. The next prime is 9344140439. The reversal of 9344140416 is 6140414439.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×9344140416² (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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268125 + ... + 300963.

It is an arithmetic number, because the mean of its divisors is an integer number (158760875).

Almost surely, 2^9344140416 is an apocalyptic number.

9344140416 is a gapful number since it is divisible by the number (96) 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 9344140416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15241044000).

9344140416 is an abundant number, since it is smaller than the sum of its proper divisors (21137947584).

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

9344140416 is a wasteful number, since it uses less digits than its factorization.

9344140416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32891 (or 32876 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 9344140416 is about 96665.0940929558. The cubic root of 9344140416 is about 2106.2655217258.

The spelling of 9344140416 in words is "nine billion, three hundred forty-four million, one hundred forty thousand, four hundred sixteen".