109801316449440 has 1728 divisors, whose sum is σ = 486405495942912. Its totient is φ = 21911371776000.

The previous prime is 109801316449393. The next prime is 109801316449519. The reversal of 109801316449440 is 44944613108901.

It is a happy number.

109801316449440 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 0 + 131 + 64 + 4 + 9 + 440 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 17997262390 + ... + 17997268490.

It is an arithmetic number, because the mean of its divisors is an integer number (281484662004).

Almost surely, 2^{109801316449440} is an apocalyptic number.

109801316449440 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 109801316449440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243202747971456).

109801316449440 is an abundant number, since it is smaller than the sum of its proper divisors (376604179493472).

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

109801316449440 is a wasteful number, since it uses less digits than its factorization.

109801316449440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6391 (or 6351 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 109801316449440 in words is "one hundred nine trillion, eight hundred one billion, three hundred sixteen million, four hundred forty-nine thousand, four hundred forty".