1064897438400 has 756 divisors, whose sum is σ = 4028535942912. Its totient is φ = 266742927360.

The previous prime is 1064897438399. The next prime is 1064897438417. The reversal of 1064897438400 is 48347984601.

1064897438400 is a `hidden beast` number, since 1 + 0 + 64 + 89 + 74 + 38 + 400 = 666.

It is a super-2 number, since 2×1064897438400² (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 107 ways as a sum of consecutive naturals, for example, 660195994 + ... + 660197606.

Almost surely, 2^{1064897438400} is an apocalyptic number.

1064897438400 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 1064897438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014267971456).

1064897438400 is an abundant number, since it is smaller than the sum of its proper divisors (2963638504512).

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

1064897438400 is a wasteful number, since it uses less digits than its factorization.

1064897438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 1064897438400 in words is "one trillion, sixty-four billion, eight hundred ninety-seven million, four hundred thirty-eight thousand, four hundred".