1107248040000 has 420 divisors, whose sum is σ = 3977580013836. Its totient is φ = 294395904000.

The previous prime is 1107248039977. The next prime is 1107248040001. The reversal of 1107248040000 is 408427011.

1107248040000 is a `hidden beast` number, since 1 + 10 + 7 + 248 + 0 + 400 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 580241733696 + 527006306304 = 761736^2 + 725952^2 .

It is not an unprimeable number, because it can be changed into a prime (1107248040001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 127075644 + ... + 127084356.

Almost surely, 2^{1107248040000} is an apocalyptic number.

1107248040000 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 1107248040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988790006918).

1107248040000 is an abundant number, since it is smaller than the sum of its proper divisors (2870331973836).

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

1107248040000 is an equidigital number, since it uses as much as digits as its factorization.

1107248040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9104 (or 9076 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 1107248040000 in words is "one trillion, one hundred seven billion, two hundred forty-eight million, forty thousand".