109489641302400 has 192 divisors, whose sum is σ = 360644910105600. Its totient is φ = 29196152473600.

The previous prime is 109489641302369. The next prime is 109489641302401. The reversal of 109489641302400 is 4203146984901.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109489641302401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276964081 + ... + 277359119.

It is an arithmetic number, because the mean of its divisors is an integer number (1878358906800).

Almost surely, 2^{109489641302400} is an apocalyptic number.

109489641302400 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 109489641302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180322455052800).

109489641302400 is an abundant number, since it is smaller than the sum of its proper divisors (251155268803200).

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

109489641302400 is a wasteful number, since it uses less digits than its factorization.

109489641302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423937 (or 423920 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 109489641302400 in words is "one hundred nine trillion, four hundred eighty-nine billion, six hundred forty-one million, three hundred two thousand, four hundred".