1105544946240 has 1344 divisors, whose sum is σ = 4652288709120. Its totient is φ = 249443131392.

The previous prime is 1105544946239. The next prime is 1105544946307. The reversal of 1105544946240 is 426494455011.

1105544946240 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 544 + 9 + 4 + 62 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 3532092324 + ... + 3532092636.

Almost surely, 2^{1105544946240} is an apocalyptic number.

1105544946240 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 1105544946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326144354560).

1105544946240 is an abundant number, since it is smaller than the sum of its proper divisors (3546743762880).

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

1105544946240 is an equidigital number, since it uses as much as digits as its factorization.

1105544946240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 1105544946240 in words is "one trillion, one hundred five billion, five hundred forty-four million, nine hundred forty-six thousand, two hundred forty".