1442312101368 has 24 divisors (see below), whose sum is σ = 3906261941400. Its totient is φ = 480770700432.

The previous prime is 1442312101301. The next prime is 1442312101369. The reversal of 1442312101368 is 8631012132441.

1442312101368 is a `hidden beast` number, since 1 + 4 + 423 + 1 + 210 + 13 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442312101369) 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 5 ways as a sum of consecutive naturals, for example, 10016056188 + ... + 10016056331.

It is an arithmetic number, because the mean of its divisors is an integer number (162760914225).

Almost surely, 2^{1442312101368} is an apocalyptic number.

1442312101368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1442312101368 is an abundant number, since it is smaller than the sum of its proper divisors (2463949840032).

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

1442312101368 is a wasteful number, since it uses less digits than its factorization.

1442312101368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20032112531 (or 20032112524 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1442312101368 in words is "one trillion, four hundred forty-two billion, three hundred twelve million, one hundred one thousand, three hundred sixty-eight".