109699309117440 has 4032 divisors, whose sum is σ = 494273730158208. Its totient is φ = 23187161088000.

The previous prime is 109699309117403. The next prime is 109699309117451. The reversal of 109699309117440 is 44711903996901.

109699309117440 is a `hidden beast` number, since 1 + 0 + 9 + 6 + 9 + 93 + 0 + 91 + 17 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 837399306175 + ... + 837399306305.

It is an arithmetic number, because the mean of its divisors is an integer number (122587730694).

Almost surely, 2^{109699309117440} is an apocalyptic number.

109699309117440 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 109699309117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247136865079104).

109699309117440 is an abundant number, since it is smaller than the sum of its proper divisors (384574421040768).

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

109699309117440 is a wasteful number, since it uses less digits than its factorization.

109699309117440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 63.

The spelling of 109699309117440 in words is "one hundred nine trillion, six hundred ninety-nine billion, three hundred nine million, one hundred seventeen thousand, four hundred forty".