1109008454400 has 2430 divisors, whose sum is σ = 5239817736972. Its totient is φ = 230443315200.

The previous prime is 1109008454363. The next prime is 1109008454441. The reversal of 1109008454400 is 44548009011.

1109008454400 is a `hidden beast` number, since 1 + 109 + 0 + 0 + 8 + 4 + 544 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2430).

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

It is an unprimeable number.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 100818950395 + ... + 100818950405.

Almost surely, 2^{1109008454400} is an apocalyptic number.

1109008454400 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 1109008454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619908868486).

1109008454400 is an abundant number, since it is smaller than the sum of its proper divisors (4130809282572).

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

1109008454400 is an frugal number, since it uses more digits than its factorization.

1109008454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 28 counting only the distinct ones).

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

The spelling of 1109008454400 in words is "one trillion, one hundred nine billion, eight million, four hundred fifty-four thousand, four hundred".