1796618544400 has 135 divisors (see below), whose sum is σ = 4472284255023. Its totient is φ = 693566227200.

The previous prime is 1796618544361. The next prime is 1796618544431. The reversal of 1796618544400 is 44458166971.

The square root of 1796618544400 is 1340380.

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 24695493904 + 1771923050496 = 157148^2 + 1331136^2 .

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 777419245 + ... + 777421555.

Almost surely, 2^{1796618544400} is an apocalyptic number.

1796618544400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1796618544400 is the 1340380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1796618544400

1796618544400 is an abundant number, since it is smaller than the sum of its proper divisors (2675665710623).

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

1796618544400 is an frugal number, since it uses more digits than its factorization.

1796618544400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4698 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 1796618544400 in words is "one trillion, seven hundred ninety-six billion, six hundred eighteen million, five hundred forty-four thousand, four hundred".