9976014400 has 189 divisors, whose sum is σ = 27101052097. Its totient is φ = 3611660800.

The previous prime is 9976014383. The next prime is 9976014437. The reversal of 9976014400 is 44106799.

It is a happy number.

The square root of 9976014400 is 99880.

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

It can be written as a sum of positive squares in only one way, i.e., 3591365184 + 6384649216 = 59928^2 + 79904^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 43947087 + ... + 43947313.

Almost surely, 2^9976014400 is an apocalyptic number.

9976014400 is the 99880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9976014400

9976014400 is an abundant number, since it is smaller than the sum of its proper divisors (17125037697).

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

9976014400 is a wasteful number, since it uses less digits than its factorization.

9976014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 245 counting only the distinct ones).

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

The cubic root of 9976014400 is about 2152.7107973863.

It can be divided in two parts, 997601 and 4400, that added together give a palindrome (1002001).

The spelling of 9976014400 in words is "nine billion, nine hundred seventy-six million, fourteen thousand, four hundred".