1108742306040 has 192 divisors, whose sum is σ = 3729637866240. Its totient is φ = 285358878720.

The previous prime is 1108742305987. The next prime is 1108742306051. The reversal of 1108742306040 is 406032478011.

1108742306040 is a `hidden beast` number, since 1 + 1 + 0 + 8 + 7 + 42 + 3 + 0 + 604 + 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 = 1108742305986 and 1108742306004.

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 47 ways as a sum of consecutive naturals, for example, 4029504 + ... + 4295856.

It is an arithmetic number, because the mean of its divisors is an integer number (19425197220).

Almost surely, 2^{1108742306040} is an apocalyptic number.

1108742306040 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 1108742306040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864818933120).

1108742306040 is an abundant number, since it is smaller than the sum of its proper divisors (2620895560200).

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

1108742306040 is a wasteful number, since it uses less digits than its factorization.

1108742306040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266774 (or 266767 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 1108742306040 in words is "one trillion, one hundred eight billion, seven hundred forty-two million, three hundred six thousand, forty".