109192705440 has 768 divisors, whose sum is σ = 457533619200. Its totient is φ = 21676032000.

The previous prime is 109192705429. The next prime is 109192705441. The reversal of 109192705440 is 44507291901.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 109192705392 and 109192705401.

It is not an unprimeable number, because it can be changed into a prime (109192705441) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 36383940 + ... + 36386940.

It is an arithmetic number, because the mean of its divisors is an integer number (595746900).

Almost surely, 2^109192705440 is an apocalyptic number.

109192705440 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 109192705440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228766809600).

109192705440 is an abundant number, since it is smaller than the sum of its proper divisors (348340913760).

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

109192705440 is a wasteful number, since it uses less digits than its factorization.

109192705440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3070 (or 3048 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 109192705440 in words is "one hundred nine billion, one hundred ninety-two million, seven hundred five thousand, four hundred forty".