1361479781376 has 1408 divisors, whose sum is σ = 5005585105920. Its totient is φ = 359910604800.

The previous prime is 1361479781329. The next prime is 1361479781377. The reversal of 1361479781376 is 6731879741631.

1361479781376 is a `hidden beast` number, since 1 + 3 + 61 + 47 + 97 + 81 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is not an unprimeable number, because it can be changed into a prime (1361479781377) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5997708175 + ... + 5997708401.

Almost surely, 2^{1361479781376} is an apocalyptic number.

1361479781376 is a gapful number since it is divisible by the number (16) 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 1361479781376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2502792552960).

1361479781376 is an abundant number, since it is smaller than the sum of its proper divisors (3644105324544).

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

1361479781376 is a wasteful number, since it uses less digits than its factorization.

1361479781376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 334 counting only the distinct ones).

The product of its digits is 32006016, while the sum is 63.

The spelling of 1361479781376 in words is "one trillion, three hundred sixty-one billion, four hundred seventy-nine million, seven hundred eighty-one thousand, three hundred seventy-six".