1066401792000 has 576 divisors, whose sum is σ = 3878757890280. Its totient is φ = 281857228800.

The previous prime is 1066401791999. The next prime is 1066401792031. The reversal of 1066401792000 is 2971046601.

1066401792000 is a `hidden beast` number, since 1 + 0 + 6 + 640 + 1 + 7 + 9 + 2 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 63455625216 + 1002946166784 = 251904^2 + 1001472^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1066401792000² (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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9437183944 + ... + 9437184056.

Almost surely, 2^{1066401792000} is an apocalyptic number.

1066401792000 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 1066401792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939378945140).

1066401792000 is an abundant number, since it is smaller than the sum of its proper divisors (2812356098280).

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

1066401792000 is an frugal number, since it uses more digits than its factorization.

1066401792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 1066401792000 in words is "one trillion, sixty-six billion, four hundred one million, seven hundred ninety-two thousand".