1109541413120 has 864 divisors, whose sum is σ = 3363662389248. Its totient is φ = 343125393408.

The previous prime is 1109541413081. The next prime is 1109541413129. The reversal of 1109541413120 is 213141459011.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (1109541413129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8736546497 + ... + 8736546623.

Almost surely, 2^{1109541413120} is an apocalyptic number.

1109541413120 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 1109541413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681831194624).

1109541413120 is an abundant number, since it is smaller than the sum of its proper divisors (2254120976128).

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

1109541413120 is a wasteful number, since it uses less digits than its factorization.

1109541413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 32.

The spelling of 1109541413120 in words is "one trillion, one hundred nine billion, five hundred forty-one million, four hundred thirteen thousand, one hundred twenty".