9914400000 has 756 divisors, whose sum is σ = 39268635084. Its totient is φ = 2488320000.

The previous prime is 9914399977. The next prime is 9914400011. The reversal of 9914400000 is 44199.

It can be written as a sum of positive squares in 6 ways, for example, as 6951557376 + 2962842624 = 83376^2 + 54432^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 583199992 + ... + 583200008.

It is an arithmetic number, because the mean of its divisors is an integer number (51942639).

Almost surely, 2^9914400000 is an apocalyptic number.

9914400000 is a gapful number since it is divisible by the number (90) 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 9914400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19634317542).

9914400000 is an abundant number, since it is smaller than the sum of its proper divisors (29354235084).

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

9914400000 is an frugal number, since it uses more digits than its factorization.

9914400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 9914400000 is about 99571.0801387632. The cubic root of 9914400000 is about 2148.2697454692.

Adding to 9914400000 its reverse (44199), we get a palindrome (9914444199).

The spelling of 9914400000 in words is "nine billion, nine hundred fourteen million, four hundred thousand".