109278318240 has 1920 divisors, whose sum is σ = 508167475200. Its totient is φ = 21946982400.

The previous prime is 109278318217. The next prime is 109278318251. The reversal of 109278318240 is 42813872901.

It is a happy number.

109278318240 is a `hidden beast` number, since 1 + 0 + 92 + 7 + 8 + 318 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1791447810 + ... + 1791447870.

It is an arithmetic number, because the mean of its divisors is an integer number (264670560).

Almost surely, 2^109278318240 is an apocalyptic number.

109278318240 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 109278318240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254083737600).

109278318240 is an abundant number, since it is smaller than the sum of its proper divisors (398889156960).

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

109278318240 is a wasteful number, since it uses less digits than its factorization.

109278318240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 109278318240 in words is "one hundred nine billion, two hundred seventy-eight million, three hundred eighteen thousand, two hundred forty".