1064440391000 has 256 divisors, whose sum is σ = 3008019456000. Its totient is φ = 344660659200.

The previous prime is 1064440390969. The next prime is 1064440391009. The reversal of 1064440391000 is 1930444601.

It is a happy number.

It is a super-2 number, since 2×1064440391000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064440391009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12677156 + ... + 12760844.

It is an arithmetic number, because the mean of its divisors is an integer number (11750076000).

Almost surely, 2^{1064440391000} is an apocalyptic number.

1064440391000 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 1064440391000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504009728000).

1064440391000 is an abundant number, since it is smaller than the sum of its proper divisors (1943579065000).

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

1064440391000 is a wasteful number, since it uses less digits than its factorization.

1064440391000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83819 (or 83805 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 1064440391000 in words is "one trillion, sixty-four billion, four hundred forty million, three hundred ninety-one thousand".