1064433144100 has 36 divisors (see below), whose sum is σ = 2322581398228. Its totient is φ = 423420912000.

The previous prime is 1064433144059. The next prime is 1064433144113. The reversal of 1064433144100 is 14413344601.

1064433144100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 441182894656 + 623250249444 = 664216^2 + 789462^2 .

It is a super-2 number, since 2×1064433144100² (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 11 ways as a sum of consecutive naturals, for example, 29386131 + ... + 29422330.

Almost surely, 2^{1064433144100} is an apocalyptic number.

1064433144100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1064433144100 is an abundant number, since it is smaller than the sum of its proper divisors (1258148254128).

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

1064433144100 is a wasteful number, since it uses less digits than its factorization.

1064433144100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58808656 (or 58808649 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 1064433144100 its reverse (14413344601), we get a palindrome (1078846488701).

The spelling of 1064433144100 in words is "one trillion, sixty-four billion, four hundred thirty-three million, one hundred forty-four thousand, one hundred".