1064222666400 has 288 divisors, whose sum is σ = 3551158836288. Its totient is φ = 276666163200.

The previous prime is 1064222666363. The next prime is 1064222666431. The reversal of 1064222666400 is 46662224601.

It is a super-2 number, since 2×1064222666400² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169540062 + ... + 169546338.

It is an arithmetic number, because the mean of its divisors is an integer number (12330412626).

Almost surely, 2^{1064222666400} is an apocalyptic number.

1064222666400 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 1064222666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775579418144).

1064222666400 is an abundant number, since it is smaller than the sum of its proper divisors (2486936169888).

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

1064222666400 is a wasteful number, since it uses less digits than its factorization.

1064222666400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8064 (or 8051 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 1064222666400 in words is "one trillion, sixty-four billion, two hundred twenty-two million, six hundred sixty-six thousand, four hundred".