1361794761600 has 384 divisors, whose sum is σ = 5520509998080. Its totient is φ = 287323545600.

The previous prime is 1361794761589. The next prime is 1361794761601. The reversal of 1361794761600 is 61674971631.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361794761601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94185 + ... + 1653015.

It is an arithmetic number, because the mean of its divisors is an integer number (14376328120).

Almost surely, 2^{1361794761600} is an apocalyptic number.

1361794761600 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 1361794761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2760254999040).

1361794761600 is an abundant number, since it is smaller than the sum of its proper divisors (4158715236480).

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

1361794761600 is a wasteful number, since it uses less digits than its factorization.

1361794761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558878 (or 1558861 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The spelling of 1361794761600 in words is "one trillion, three hundred sixty-one billion, seven hundred ninety-four million, seven hundred sixty-one thousand, six hundred".