109730004480 has 480 divisors, whose sum is σ = 407589225120. Its totient is φ = 27979776000.

The previous prime is 109730004451. The next prime is 109730004481. The reversal of 109730004480 is 84400037901.

It is a happy number.

109730004480 is a `hidden beast` number, since 109 + 73 + 0 + 0 + 0 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109730004481) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 36562980 + ... + 36565980.

It is an arithmetic number, because the mean of its divisors is an integer number (849144219).

Almost surely, 2^109730004480 is an apocalyptic number.

109730004480 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 109730004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203794612560).

109730004480 is an abundant number, since it is smaller than the sum of its proper divisors (297859220640).

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

109730004480 is an equidigital number, since it uses as much as digits as its factorization.

109730004480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3079 (or 3034 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 109730004480 in words is "one hundred nine billion, seven hundred thirty million, four thousand, four hundred eighty".