1356104004642 has 64 divisors (see below), whose sum is σ = 3071264256000. Its totient is φ = 443412812304.

The previous prime is 1356104004641. The next prime is 1356104004733. The reversal of 1356104004642 is 2464004016531.

1356104004642 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 1 + 0 + 4 + 0 + 0 + 4 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1356104004597 and 1356104004606.

It is not an unprimeable number, because it can be changed into a prime (1356104004641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1015459 + ... + 1934777.

It is an arithmetic number, because the mean of its divisors is an integer number (47988504000).

Almost surely, 2^{1356104004642} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1356104004642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535632128000).

1356104004642 is an abundant number, since it is smaller than the sum of its proper divisors (1715160251358).

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

1356104004642 is a wasteful number, since it uses less digits than its factorization.

1356104004642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919852 (or 919846 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 1356104004642 in words is "one trillion, three hundred fifty-six billion, one hundred four million, four thousand, six hundred forty-two".