109943450400 has 288 divisors, whose sum is σ = 409387547520. Its totient is φ = 25105489920.

The previous prime is 109943450387. The next prime is 109943450453. The reversal of 109943450400 is 4054349901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21652662 + ... + 21657738.

It is an arithmetic number, because the mean of its divisors is an integer number (1421484540).

Almost surely, 2^109943450400 is an apocalyptic number.

109943450400 is a gapful number since it is divisible by the number (10) 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 109943450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204693773760).

109943450400 is an abundant number, since it is smaller than the sum of its proper divisors (299444097120).

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

109943450400 is a wasteful number, since it uses less digits than its factorization.

109943450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6396 (or 6383 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 109943450400 in words is "one hundred nine billion, nine hundred forty-three million, four hundred fifty thousand, four hundred".