1355444220240 has 120 divisors (see below), whose sum is σ = 4965854763168. Its totient is φ = 328592536320.

The previous prime is 1355444220217. The next prime is 1355444220241. The reversal of 1355444220240 is 420224445531.

1355444220240 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 4 + 442 + 202 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 1355444220195 and 1355444220204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355444220241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85563054 + ... + 85578893.

Almost surely, 2^{1355444220240} is an apocalyptic number.

1355444220240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1355444220240 is an abundant number, since it is smaller than the sum of its proper divisors (3610410542928).

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

1355444220240 is a wasteful number, since it uses less digits than its factorization.

1355444220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171141977 (or 171141968 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 1355444220240 its reverse (420224445531), we get a palindrome (1775668665771).

The spelling of 1355444220240 in words is "one trillion, three hundred fifty-five billion, four hundred forty-four million, two hundred twenty thousand, two hundred forty".