1109846804400 has 420 divisors, whose sum is σ = 4090799491768. Its totient is φ = 289073111040.

The previous prime is 1109846804393. The next prime is 1109846804411. The reversal of 1109846804400 is 44086489011.

1109846804400 is a `hidden beast` number, since 1 + 1 + 0 + 98 + 46 + 80 + 440 + 0 = 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 83 ways as a sum of consecutive naturals, for example, 12494544 + ... + 12583056.

Almost surely, 2^{1109846804400} is an apocalyptic number.

1109846804400 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 1109846804400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045399745884).

1109846804400 is an abundant number, since it is smaller than the sum of its proper divisors (2980952687368).

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

1109846804400 is an equidigital number, since it uses as much as digits as its factorization.

1109846804400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88592 (or 88566 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 1109846804400 in words is "one trillion, one hundred nine billion, eight hundred forty-six million, eight hundred four thousand, four hundred".