9945199440 has 600 divisors, whose sum is σ = 39088060704. Its totient is φ = 2323814400.

The previous prime is 9945199403. The next prime is 9945199499. The reversal of 9945199440 is 449915499.

9945199440 is a `hidden beast` number, since 9 + 9 + 4 + 5 + 199 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 119821639 + ... + 119821721.

Almost surely, 2^9945199440 is an apocalyptic number.

9945199440 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 9945199440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19544030352).

9945199440 is an abundant number, since it is smaller than the sum of its proper divisors (29142861264).

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

9945199440 is a wasteful number, since it uses less digits than its factorization.

9945199440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The square root of 9945199440 is about 99725.6207802188. The cubic root of 9945199440 is about 2150.4920049423.

It can be divided in two parts, 99451 and 99440, that added together give a palindrome (198891).

The spelling of 9945199440 in words is "nine billion, nine hundred forty-five million, one hundred ninety-nine thousand, four hundred forty".