1368260449920 has 2688 divisors, whose sum is σ = 6326232935040. Its totient is φ = 276693221376.

The previous prime is 1368260449873. The next prime is 1368260449931. The reversal of 1368260449920 is 299440628631.

1368260449920 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 2 + 604 + 4 + 9 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 335 ways as a sum of consecutive naturals, for example, 20421797727 + ... + 20421797793.

Almost surely, 2^{1368260449920} is an apocalyptic number.

1368260449920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1368260449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3163116467520).

1368260449920 is an abundant number, since it is smaller than the sum of its proper divisors (4957972485120).

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

1368260449920 is an equidigital number, since it uses as much as digits as its factorization.

1368260449920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 1368260449920 in words is "one trillion, three hundred sixty-eight billion, two hundred sixty million, four hundred forty-nine thousand, nine hundred twenty".