1066461028416 has 441 divisors, whose sum is σ = 3696378824271. Its totient is φ = 304257026304.

The previous prime is 1066461028397. The next prime is 1066461028439. The reversal of 1066461028416 is 6148201646601.

The square root of 1066461028416 is 1032696.

It is a perfect power (a square), and thus also a powerful number.

1066461028416 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 4 + 610 + 28 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (441).

It is a super-2 number, since 2×1066461028416² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1561436011 + ... + 1561436693.

Almost surely, 2^{1066461028416} is an apocalyptic number.

1066461028416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1066461028416 is the 1032696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066461028416

1066461028416 is an abundant number, since it is smaller than the sum of its proper divisors (2629917795855).

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

1066461028416 is an frugal number, since it uses more digits than its factorization.

1066461028416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1066461028416 in words is "one trillion, sixty-six billion, four hundred sixty-one million, twenty-eight thousand, four hundred sixteen".