1064444917200 has 240 divisors, whose sum is σ = 3898553678976. Its totient is φ = 243197337600.

The previous prime is 1064444917177. The next prime is 1064444917213. The reversal of 1064444917200 is 27194444601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1064444917200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 20478444 + ... + 20530356.

Almost surely, 2^{1064444917200} is an apocalyptic number.

1064444917200 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 1064444917200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949276839488).

1064444917200 is an abundant number, since it is smaller than the sum of its proper divisors (2834108761776).

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

1064444917200 is a wasteful number, since it uses less digits than its factorization.

1064444917200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54382 (or 54371 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 1064444917200 in words is "one trillion, sixty-four billion, four hundred forty-four million, nine hundred seventeen thousand, two hundred".