1268544161430 has 960 divisors, whose sum is σ = 4575961133568. Its totient is φ = 245910712320.

The previous prime is 1268544161383. The next prime is 1268544161491. The reversal of 1268544161430 is 341614458621.

1268544161430 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 54 + 4 + 161 + 430 = 666.

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

It is a Curzon number.

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 479 ways as a sum of consecutive naturals, for example, 700465225 + ... + 700467035.

Almost surely, 2^{1268544161430} is an apocalyptic number.

1268544161430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1268544161430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2287980566784).

1268544161430 is an abundant number, since it is smaller than the sum of its proper divisors (3307416972138).

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

1268544161430 is a wasteful number, since it uses less digits than its factorization.

1268544161430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1268544161430 in words is "one trillion, two hundred sixty-eight billion, five hundred forty-four million, one hundred sixty-one thousand, four hundred thirty".