9740900416 has 105 divisors (see below), whose sum is σ = 21231126321. Its totient is φ = 4434213888.

The previous prime is 9740900401. The next prime is 9740900483. The reversal of 9740900416 is 6140090479.

It is a happy number.

The square root of 9740900416 is 98696.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 9690433600 + 50466816 = 98440^2 + 7104^2 .

It is a Duffinian number.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 133436956 + ... + 133437028.

Almost surely, 2^9740900416 is an apocalyptic number.

9740900416 is the 98696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9740900416

9740900416 is an abundant number, since it is smaller than the sum of its proper divisors (11490225905).

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

9740900416 is an frugal number, since it uses more digits than its factorization.

9740900416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The cubic root of 9740900416 is about 2135.6645285734.

The spelling of 9740900416 in words is "nine billion, seven hundred forty million, nine hundred thousand, four hundred sixteen".