109955089440 has 288 divisors, whose sum is σ = 444708351360. Its totient is φ = 25132529664.

The previous prime is 109955089421. The next prime is 109955089471. The reversal of 109955089440 is 44980559901.

109955089440 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 5 + 508 + 94 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70156 + ... + 474164.

It is an arithmetic number, because the mean of its divisors is an integer number (1544126220).

Almost surely, 2^109955089440 is an apocalyptic number.

109955089440 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 109955089440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222354175680).

109955089440 is an abundant number, since it is smaller than the sum of its proper divisors (334753261920).

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

109955089440 is an equidigital number, since it uses as much as digits as its factorization.

109955089440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404046 (or 404026 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 109955089440 in words is "one hundred nine billion, nine hundred fifty-five million, eighty-nine thousand, four hundred forty".