1066971709440 has 2880 divisors, whose sum is σ = 5129645015040. Its totient is φ = 206391214080.

The previous prime is 1066971709423. The next prime is 1066971709469. The reversal of 1066971709440 is 449071796601.

1066971709440 is a `hidden beast` number, since 1 + 0 + 6 + 69 + 71 + 70 + 9 + 440 = 666.

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

It is a super-2 number, since 2×1066971709440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 34418442225 + ... + 34418442255.

Almost surely, 2^{1066971709440} is an apocalyptic number.

1066971709440 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 1066971709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564822507520).

1066971709440 is an abundant number, since it is smaller than the sum of its proper divisors (4062673305600).

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

1066971709440 is an equidigital number, since it uses as much as digits as its factorization.

1066971709440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 1066971709440 in words is "one trillion, sixty-six billion, nine hundred seventy-one million, seven hundred nine thousand, four hundred forty".