109099641446400 has 1344 divisors, whose sum is σ = 408393274550400. Its totient is φ = 25455230976000.

The previous prime is 109099641446381. The next prime is 109099641446443. The reversal of 109099641446400 is 4644146990901.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80161381720 + ... + 80161383080.

Almost surely, 2^{109099641446400} is an apocalyptic number.

109099641446400 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 109099641446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204196637275200).

109099641446400 is an abundant number, since it is smaller than the sum of its proper divisors (299293633104000).

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

109099641446400 is a wasteful number, since it uses less digits than its factorization.

109099641446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 57.

The spelling of 109099641446400 in words is "one hundred nine trillion, ninety-nine billion, six hundred forty-one million, four hundred forty-six thousand, four hundred".