1066234316400 has 720 divisors, whose sum is σ = 4256271152640. Its totient is φ = 244455321600.

The previous prime is 1066234316369. The next prime is 1066234316423. The reversal of 1066234316400 is 46134326601.

1066234316400 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 2 + 3 + 4 + 3 + 1 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×1066234316400³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 717036457 + ... + 717037943.

It is an arithmetic number, because the mean of its divisors is an integer number (5911487712).

Almost surely, 2^{1066234316400} is an apocalyptic number.

1066234316400 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 1066234316400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128135576320).

1066234316400 is an abundant number, since it is smaller than the sum of its proper divisors (3190036836240).

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

1066234316400 is a wasteful number, since it uses less digits than its factorization.

1066234316400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 1066234316400 in words is "one trillion, sixty-six billion, two hundred thirty-four million, three hundred sixteen thousand, four hundred".