1468134944640 has 512 divisors, whose sum is σ = 6399569433600. Its totient is φ = 309760008192.

The previous prime is 1468134944629. The next prime is 1468134944663. The reversal of 1468134944640 is 464494318641.

1468134944640 is a `hidden beast` number, since 1 + 4 + 68 + 1 + 34 + 94 + 464 + 0 = 666.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1105659 + ... + 2039301.

It is an arithmetic number, because the mean of its divisors is an integer number (12499159050).

Almost surely, 2^{1468134944640} is an apocalyptic number.

1468134944640 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 1468134944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199784716800).

1468134944640 is an abundant number, since it is smaller than the sum of its proper divisors (4931434488960).

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

1468134944640 is a wasteful number, since it uses less digits than its factorization.

1468134944640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933691 (or 933673 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 1468134944640 in words is "one trillion, four hundred sixty-eight billion, one hundred thirty-four million, nine hundred forty-four thousand, six hundred forty".