1066347210240 has 640 divisors, whose sum is σ = 4110711897600. Its totient is φ = 260453007360.

The previous prime is 1066347210221. The next prime is 1066347210283. The reversal of 1066347210240 is 420127436601.

1066347210240 is a `hidden beast` number, since 1 + 0 + 6 + 634 + 7 + 2 + 10 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×1066347210240² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1066347210195 and 1066347210204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117706831 + ... + 117715889.

It is an arithmetic number, because the mean of its divisors is an integer number (6422987340).

Almost surely, 2^{1066347210240} is an apocalyptic number.

1066347210240 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 1066347210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055355948800).

1066347210240 is an abundant number, since it is smaller than the sum of its proper divisors (3044364687360).

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

1066347210240 is a wasteful number, since it uses less digits than its factorization.

1066347210240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9235 (or 9213 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 1066347210240 in words is "one trillion, sixty-six billion, three hundred forty-seven million, two hundred ten thousand, two hundred forty".