1097005409280 has 1056 divisors, whose sum is σ = 4389614311680. Its totient is φ = 250698792960.

The previous prime is 1097005409261. The next prime is 1097005409293. The reversal of 1097005409280 is 829045007901.

1097005409280 is a `hidden beast` number, since 10 + 9 + 7 + 0 + 0 + 540 + 92 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 851050876 + ... + 851052164.

Almost surely, 2^{1097005409280} is an apocalyptic number.

1097005409280 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 1097005409280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194807155840).

1097005409280 is an abundant number, since it is smaller than the sum of its proper divisors (3292608902400).

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

1097005409280 is a wasteful number, since it uses less digits than its factorization.

1097005409280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 1097005409280 in words is "one trillion, ninety-seven billion, five million, four hundred nine thousand, two hundred eighty".