9944378400 has 576 divisors, whose sum is σ = 37797580800. Its totient is φ = 2247168000.

The previous prime is 9944378363. The next prime is 9944378447. The reversal of 9944378400 is 48734499.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9944378400.

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 95 ways as a sum of consecutive naturals, for example, 23733391 + ... + 23733809.

It is an arithmetic number, because the mean of its divisors is an integer number (65620800).

Almost surely, 2^9944378400 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 9944378400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18898790400).

9944378400 is an abundant number, since it is smaller than the sum of its proper divisors (27853202400).

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

9944378400 is a wasteful number, since it uses less digits than its factorization.

9944378400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 9944378400 is about 99721.5042004482. The cubic root of 9944378400 is about 2150.4328243444.

The spelling of 9944378400 in words is "nine billion, nine hundred forty-four million, three hundred seventy-eight thousand, four hundred".