1355167717140 has 48 divisors (see below), whose sum is σ = 3796690181760. Its totient is φ = 361166574720.

The previous prime is 1355167717117. The next prime is 1355167717147. The reversal of 1355167717140 is 417177615531.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1355167717140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355167717147) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6505456 + ... + 6710535.

It is an arithmetic number, because the mean of its divisors is an integer number (79097712120).

Almost surely, 2^{1355167717140} is an apocalyptic number.

1355167717140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1355167717140 is an abundant number, since it is smaller than the sum of its proper divisors (2441522464620).

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

1355167717140 is a wasteful number, since it uses less digits than its factorization.

1355167717140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13217712 (or 13217710 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 48.

The spelling of 1355167717140 in words is "one trillion, three hundred fifty-five billion, one hundred sixty-seven million, seven hundred seventeen thousand, one hundred forty".