1361795641600 has 243 divisors, whose sum is σ = 3497848406143. Its totient is φ = 524889272320.

The previous prime is 1361795641579. The next prime is 1361795641603. The reversal of 1361795641600 is 61465971631.

It is a happy number.

The square root of 1361795641600 is 1166960.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 18718617856 + 1343077023744 = 136816^2 + 1158912^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1361795641603) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2707346949 + ... + 2707347451.

Almost surely, 2^{1361795641600} is an apocalyptic number.

1361795641600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1361795641600 is the 1166960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1361795641600

1361795641600 is an abundant number, since it is smaller than the sum of its proper divisors (2136052764543).

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

1361795641600 is an frugal number, since it uses more digits than its factorization.

1361795641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

Multiplying 1361795641600 by its sum of digits (49), we get a square (66727986438400 = 8168720²).

The spelling of 1361795641600 in words is "one trillion, three hundred sixty-one billion, seven hundred ninety-five million, six hundred forty-one thousand, six hundred".