1355342144004 has 72 divisors (see below), whose sum is σ = 3447495192960. Its totient is φ = 448955265600.

The previous prime is 1355342143993. The next prime is 1355342144017. The reversal of 1355342144004 is 4004412435531.

1355342144004 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 34 + 214 + 400 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1355342144004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3616519 + ... + 3973649.

It is an arithmetic number, because the mean of its divisors is an integer number (47881877680).

Almost surely, 2^{1355342144004} is an apocalyptic number.

It is an amenable number.

1355342144004 is an abundant number, since it is smaller than the sum of its proper divisors (2092153048956).

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

1355342144004 is a wasteful number, since it uses less digits than its factorization.

1355342144004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357801 (or 357796 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 1355342144004 its reverse (4004412435531), we get a palindrome (5359754579535).

The spelling of 1355342144004 in words is "one trillion, three hundred fifty-five billion, three hundred forty-two million, one hundred forty-four thousand, four".