1363337041401 has 36 divisors (see below), whose sum is σ = 2142940327164. Its totient is φ = 834563020800.

The previous prime is 1363337041369. The next prime is 1363337041433. The reversal of 1363337041401 is 1041407333631.

1363337041401 is a `hidden beast` number, since 1 + 3 + 633 + 3 + 7 + 0 + 4 + 14 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1363337041369) and next prime (1363337041433).

It can be written as a sum of positive squares in 6 ways, for example, as 53916840000 + 1309420201401 = 232200^2 + 1144299^2 .

It is not a de Polignac number, because 1363337041401 - 2⁵ = 1363337041369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1363337041501) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6285540 + ... + 6498821.

It is an arithmetic number, because the mean of its divisors is an integer number (59526120199).

Almost surely, 2^{1363337041401} is an apocalyptic number.

It is an amenable number.

1363337041401 is a deficient number, since it is larger than the sum of its proper divisors (779603285763).

1363337041401 is a wasteful number, since it uses less digits than its factorization.

1363337041401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12784442 (or 12784422 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 1363337041401 in words is "one trillion, three hundred sixty-three billion, three hundred thirty-seven million, forty-one thousand, four hundred one".