1066791983400 has 720 divisors, whose sum is σ = 4376916466560. Its totient is φ = 238715942400.

The previous prime is 1066791983359. The next prime is 1066791983417. The reversal of 1066791983400 is 43891976601.

1066791983400 is a `hidden beast` number, since 1 + 0 + 6 + 67 + 91 + 98 + 3 + 400 = 666.

It is a super-2 number, since 2×1066791983400² (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 179 ways as a sum of consecutive naturals, for example, 30098089 + ... + 30133511.

It is an arithmetic number, because the mean of its divisors is an integer number (6079050648).

Almost surely, 2^{1066791983400} is an apocalyptic number.

1066791983400 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 1066791983400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2188458233280).

1066791983400 is an abundant number, since it is smaller than the sum of its proper divisors (3310124483160).

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

1066791983400 is a wasteful number, since it uses less digits than its factorization.

1066791983400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35488 (or 35457 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 1066791983400 in words is "one trillion, sixty-six billion, seven hundred ninety-one million, nine hundred eighty-three thousand, four hundred".