1066717142400 has 2304 divisors, whose sum is σ = 4825311160320. Its totient is φ = 204374016000.

The previous prime is 1066717142399. The next prime is 1066717142423. The reversal of 1066717142400 is 42417176601.

It is a super-2 number, since 2×1066717142400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3222710235 + ... + 3222710565.

It is an arithmetic number, because the mean of its divisors is an integer number (2094319080).

Almost surely, 2^{1066717142400} is an apocalyptic number.

1066717142400 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 1066717142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412655580160).

1066717142400 is an abundant number, since it is smaller than the sum of its proper divisors (3758594017920).

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

1066717142400 is a wasteful number, since it uses less digits than its factorization.

1066717142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 1066717142400 in words is "one trillion, sixty-six billion, seven hundred seventeen million, one hundred forty-two thousand, four hundred".