1334541132288 has 960 divisors, whose sum is σ = 5012544176640. Its totient is φ = 351778775040.

The previous prime is 1334541132269. The next prime is 1334541132289. The reversal of 1334541132288 is 8822311454331.

1334541132288 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 5 + 411 + 3 + 228 + 8 = 666.

It is a super-2 number, since 2×1334541132288² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1334541132289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 713275993 + ... + 713277863.

It is an arithmetic number, because the mean of its divisors is an integer number (5221400184).

Almost surely, 2^{1334541132288} is an apocalyptic number.

1334541132288 is a gapful number since it is divisible by the number (18) 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 1334541132288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506272088320).

1334541132288 is an abundant number, since it is smaller than the sum of its proper divisors (3678003044352).

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

1334541132288 is an frugal number, since it uses more digits than its factorization.

1334541132288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1896 counting only the distinct ones).

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

The spelling of 1334541132288 in words is "one trillion, three hundred thirty-four billion, five hundred forty-one million, one hundred thirty-two thousand, two hundred eighty-eight".