109085797440 has 560 divisors, whose sum is σ = 410262019200. Its totient is φ = 27437211648.

The previous prime is 109085797427. The next prime is 109085797451. The reversal of 109085797440 is 44797580901.

109085797440 is a `hidden beast` number, since 109 + 0 + 8 + 5 + 7 + 97 + 440 = 666.

It is a super-2 number, since 2×109085797440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 176800012 + ... + 176800628.

Almost surely, 2^109085797440 is an apocalyptic number.

109085797440 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 109085797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205131009600).

109085797440 is an abundant number, since it is smaller than the sum of its proper divisors (301176221760).

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

109085797440 is a wasteful number, since it uses less digits than its factorization.

109085797440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 109085797440 in words is "one hundred nine billion, eighty-five million, seven hundred ninety-seven thousand, four hundred forty".