1364400106441 has 8 divisors (see below), whose sum is σ = 1383112850504. Its totient is φ = 1345687966080.

The previous prime is 1364400106409. The next prime is 1364400106451. The reversal of 1364400106441 is 1446010044631.

It can be written as a sum of positive squares in 4 ways, for example, as 18345348025 + 1346054758416 = 135445^2 + 1160196^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1364400106441 - 2⁵ = 1364400106409 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1364400106397 and 1364400106406.

It is not an unprimeable number, because it can be changed into a prime (1364400106451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6246331 + ... + 6461071.

It is an arithmetic number, because the mean of its divisors is an integer number (172889106313).

Almost surely, 2^{1364400106441} is an apocalyptic number.

It is an amenable number.

1364400106441 is a deficient number, since it is larger than the sum of its proper divisors (18712744063).

1364400106441 is an equidigital number, since it uses as much as digits as its factorization.

1364400106441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301851.

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 1364400106441 in words is "one trillion, three hundred sixty-four billion, four hundred million, one hundred six thousand, four hundred forty-one".