1468068134400 has 360 divisors, whose sum is σ = 6004358275344. Its totient is φ = 335558246400.

The previous prime is 1468068134399. The next prime is 1468068134419. The reversal of 1468068134400 is 44318608641.

1468068134400 is a `hidden beast` number, since 146 + 8 + 0 + 68 + 1 + 3 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 103861 + ... + 1716660.

Almost surely, 2^{1468068134400} is an apocalyptic number.

1468068134400 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 1468068134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3002179137672).

1468068134400 is an abundant number, since it is smaller than the sum of its proper divisors (4536290140944).

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

1468068134400 is a wasteful number, since it uses less digits than its factorization.

1468068134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820562 (or 1820538 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 1468068134400 in words is "one trillion, four hundred sixty-eight billion, sixty-eight million, one hundred thirty-four thousand, four hundred".