109400092266240 has 720 divisors, whose sum is σ = 412172687646720. Its totient is φ = 27630116167680.

The previous prime is 109400092266203. The next prime is 109400092266253. The reversal of 109400092266240 is 42662290004901.

109400092266240 is a `hidden beast` number, since 10 + 9 + 4 + 0 + 0 + 0 + 9 + 2 + 2 + 6 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10651352305 + ... + 10651362575.

It is an arithmetic number, because the mean of its divisors is an integer number (572462066176).

Almost surely, 2^{109400092266240} is an apocalyptic number.

109400092266240 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 109400092266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206086343823360).

109400092266240 is an abundant number, since it is smaller than the sum of its proper divisors (302772595380480).

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

109400092266240 is a wasteful number, since it uses less digits than its factorization.

109400092266240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15730 (or 15707 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 109400092266240 in words is "one hundred nine trillion, four hundred billion, ninety-two million, two hundred sixty-six thousand, two hundred forty".