1097844733440 has 2880 divisors, whose sum is σ = 5216306135040. Its totient is φ = 210691031040.

The previous prime is 1097844733351. The next prime is 1097844733451. The reversal of 1097844733440 is 443374487901.

It is a happy number.

1097844733440 is a `hidden beast` number, since 1 + 0 + 97 + 8 + 44 + 73 + 3 + 440 = 666.

1097844733440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8644446657 + ... + 8644446783.

It is an arithmetic number, because the mean of its divisors is an integer number (1811217408).

Almost surely, 2^{1097844733440} is an apocalyptic number.

1097844733440 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 1097844733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608153067520).

1097844733440 is an abundant number, since it is smaller than the sum of its proper divisors (4118461401600).

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

1097844733440 is a wasteful number, since it uses less digits than its factorization.

1097844733440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 1097844733440 in words is "one trillion, ninety-seven billion, eight hundred forty-four million, seven hundred thirty-three thousand, four hundred forty".