109210285440 has 768 divisors, whose sum is σ = 424277568000. Its totient is φ = 25751126016.

The previous prime is 109210285427. The next prime is 109210285511. The reversal of 109210285440 is 44582012901.

109210285440 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 102 + 8 + 544 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 109210285395 and 109210285404.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 108235656 + ... + 108236664.

It is an arithmetic number, because the mean of its divisors is an integer number (552444750).

Almost surely, 2^109210285440 is an apocalyptic number.

109210285440 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 109210285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212138784000).

109210285440 is an abundant number, since it is smaller than the sum of its proper divisors (315067282560).

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

109210285440 is a wasteful number, since it uses less digits than its factorization.

109210285440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 109210285440 in words is "one hundred nine billion, two hundred ten million, two hundred eighty-five thousand, four hundred forty".