1066079461824 has 336 divisors, whose sum is σ = 3418249094400. Its totient is φ = 325652161536.

The previous prime is 1066079461819. The next prime is 1066079461847. The reversal of 1066079461824 is 4281649706601.

1066079461824 is a `hidden beast` number, since 1 + 0 + 6 + 607 + 9 + 4 + 6 + 1 + 8 + 24 = 666.

It is a super-2 number, since 2×1066079461824² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40579317 + ... + 40605579.

It is an arithmetic number, because the mean of its divisors is an integer number (10173360400).

Almost surely, 2^{1066079461824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066079461824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709124547200).

1066079461824 is an abundant number, since it is smaller than the sum of its proper divisors (2352169632576).

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

1066079461824 is a wasteful number, since it uses less digits than its factorization.

1066079461824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26449 (or 26420 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 1066079461824 in words is "one trillion, sixty-six billion, seventy-nine million, four hundred sixty-one thousand, eight hundred twenty-four".