1361386704960 has 1008 divisors, whose sum is σ = 5406907184640. Its totient is φ = 313143459840.

The previous prime is 1361386704911. The next prime is 1361386704983. The reversal of 1361386704960 is 694076831631.

It is a happy number.

1361386704960 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 3 + 86 + 70 + 496 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1361386704897 and 1361386704906.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 490235092 + ... + 490237868.

Almost surely, 2^{1361386704960} is an apocalyptic number.

1361386704960 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 1361386704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703453592320).

1361386704960 is an abundant number, since it is smaller than the sum of its proper divisors (4045520479680).

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

1361386704960 is a wasteful number, since it uses less digits than its factorization.

1361386704960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2884 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 1361386704960 in words is "one trillion, three hundred sixty-one billion, three hundred eighty-six million, seven hundred four thousand, nine hundred sixty".