1334060420256 has 144 divisors (see below), whose sum is σ = 4033566344808. Its totient is φ = 416791756800.

The previous prime is 1334060420243. The next prime is 1334060420261. The reversal of 1334060420256 is 6520240604331.

1334060420256 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 0 + 604 + 20 + 25 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1273927571856 + 60132848400 = 1128684^2 + 245220^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1334060420256.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 614626 + ... + 1745246.

Almost surely, 2^{1334060420256} is an apocalyptic number.

1334060420256 is a gapful number since it is divisible by the number (16) 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 1334060420256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016783172404).

1334060420256 is an abundant number, since it is smaller than the sum of its proper divisors (2699505924552).

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

1334060420256 is a wasteful number, since it uses less digits than its factorization.

1334060420256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130895 (or 1130884 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 1334060420256 in words is "one trillion, three hundred thirty-four billion, sixty million, four hundred twenty thousand, two hundred fifty-six".