1061436341600 has 144 divisors (see below), whose sum is σ = 2620079804160. Its totient is φ = 419859417600.

The previous prime is 1061436341587. The next prime is 1061436341617. The reversal of 1061436341600 is 61436341601.

It is a super-2 number, since 2×1061436341600² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60884885 + ... + 60902315.

It is an arithmetic number, because the mean of its divisors is an integer number (18194998640).

Almost surely, 2^{1061436341600} is an apocalyptic number.

1061436341600 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 1061436341600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310039902080).

1061436341600 is an abundant number, since it is smaller than the sum of its proper divisors (1558643462560).

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

1061436341600 is a wasteful number, since it uses less digits than its factorization.

1061436341600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18293 (or 18280 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

Subtracting from 1061436341600 its reverse (61436341601), we obtain a palindrome (999999999999).

The spelling of 1061436341600 in words is "one trillion, sixty-one billion, four hundred thirty-six million, three hundred forty-one thousand, six hundred".