1101305404800 has 576 divisors, whose sum is σ = 4150956226560. Its totient is φ = 277588684800.

The previous prime is 1101305404781. The next prime is 1101305404867. The reversal of 1101305404800 is 84045031011.

It is a happy number.

1101305404800 is a `hidden beast` number, since 1 + 1 + 0 + 130 + 54 + 0 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 38376057 + ... + 38404743.

Almost surely, 2^{1101305404800} is an apocalyptic number.

1101305404800 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 1101305404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075478113280).

1101305404800 is an abundant number, since it is smaller than the sum of its proper divisors (3049650821760).

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

1101305404800 is a wasteful number, since it uses less digits than its factorization.

1101305404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28791 (or 28771 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 1101305404800 in words is "one trillion, one hundred one billion, three hundred five million, four hundred four thousand, eight hundred".