109211741399040 has 1152 divisors, whose sum is σ = 416354517895680. Its totient is φ = 24356780507136.

The previous prime is 109211741399011. The next prime is 109211741399081. The reversal of 109211741399040 is 40993147112901.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 24974098294 + ... + 24974102666.

It is an arithmetic number, because the mean of its divisors is an integer number (361418852340).

Almost surely, 2^{109211741399040} is an apocalyptic number.

109211741399040 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 109211741399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208177258947840).

109211741399040 is an abundant number, since it is smaller than the sum of its proper divisors (307142776496640).

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

109211741399040 is a wasteful number, since it uses less digits than its factorization.

109211741399040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4817 (or 4790 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The spelling of 109211741399040 in words is "one hundred nine trillion, two hundred eleven billion, seven hundred forty-one million, three hundred ninety-nine thousand, forty".