1361966433828 has 768 divisors, whose sum is σ = 4538993614848. Its totient is φ = 306561024000.

The previous prime is 1361966433811. The next prime is 1361966433913. The reversal of 1361966433828 is 8283346691631.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1545931948 + ... + 1545932828.

It is an arithmetic number, because the mean of its divisors is an integer number (5910147936).

Almost surely, 2^{1361966433828} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1361966433828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2269496807424).

1361966433828 is an abundant number, since it is smaller than the sum of its proper divisors (3177027181020).

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

1361966433828 is a wasteful number, since it uses less digits than its factorization.

1361966433828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1074 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 60.

The spelling of 1361966433828 in words is "one trillion, three hundred sixty-one billion, nine hundred sixty-six million, four hundred thirty-three thousand, eight hundred twenty-eight".