1066400112000 has 256 divisors, whose sum is σ = 3546680417280. Its totient is φ = 283443148800.

The previous prime is 1066400111993. The next prime is 1066400112007. The reversal of 1066400112000 is 2110046601.

It is an interprime number because it is at equal distance from previous prime (1066400111993) and next prime (1066400112007).

It is a super-2 number, since 2×1066400112000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066400112007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14699817 + ... + 14772183.

It is an arithmetic number, because the mean of its divisors is an integer number (13854220380).

Almost surely, 2^{1066400112000} is an apocalyptic number.

1066400112000 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 1066400112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773340208640).

1066400112000 is an abundant number, since it is smaller than the sum of its proper divisors (2480280305280).

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

1066400112000 is an equidigital number, since it uses as much as digits as its factorization.

1066400112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72706 (or 72684 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1066400112000 its reverse (2110046601), we get a palindrome (1068510158601).

The spelling of 1066400112000 in words is "one trillion, sixty-six billion, four hundred million, one hundred twelve thousand".