1468264027200 has 336 divisors, whose sum is σ = 5046226128000. Its totient is φ = 373049262080.

The previous prime is 1468264027199. The next prime is 1468264027259. The reversal of 1468264027200 is 27204628641.

It is a happy 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 47 ways as a sum of consecutive naturals, for example, 28346926 + ... + 28398674.

Almost surely, 2^{1468264027200} is an apocalyptic number.

1468264027200 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 1468264027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523113064000).

1468264027200 is an abundant number, since it is smaller than the sum of its proper divisors (3577962100800).

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

1468264027200 is a wasteful number, since it uses less digits than its factorization.

1468264027200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52054 (or 52039 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 1468264027200 in words is "one trillion, four hundred sixty-eight billion, two hundred sixty-four million, twenty-seven thousand, two hundred".