109216084461440 has 128 divisors (see below), whose sum is σ = 284893864053120. Its totient is φ = 39706116433920.

The previous prime is 109216084461383. The next prime is 109216084461557. The reversal of 109216084461440 is 44164480612901.

109216084461440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30008219 + ... + 33450341.

It is an arithmetic number, because the mean of its divisors is an integer number (2225733312915).

Almost surely, 2^{109216084461440} is an apocalyptic number.

109216084461440 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 109216084461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142446932026560).

109216084461440 is an abundant number, since it is smaller than the sum of its proper divisors (175677779591680).

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

109216084461440 is a wasteful number, since it uses less digits than its factorization.

109216084461440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3446660 (or 3446648 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 50.

The spelling of 109216084461440 in words is "one hundred nine trillion, two hundred sixteen billion, eighty-four million, four hundred sixty-one thousand, four hundred forty".