1334130002208 has 240 divisors, whose sum is σ = 4163516784504. Its totient is φ = 417636311040.

The previous prime is 1334130002201. The next prime is 1334130002377. The reversal of 1334130002208 is 8022000314331.

1334130002208 is a `hidden beast` number, since 1 + 334 + 1 + 300 + 0 + 2 + 20 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 997066155024 + 337063847184 = 998532^2 + 580572^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1334130002201) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20280666 + ... + 20346342.

Almost surely, 2^{1334130002208} is an apocalyptic number.

1334130002208 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 1334130002208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2081758392252).

1334130002208 is an abundant number, since it is smaller than the sum of its proper divisors (2829386782296).

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

1334130002208 is a wasteful number, since it uses less digits than its factorization.

1334130002208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66177 (or 66160 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1334130002208 its reverse (8022000314331), we get a palindrome (9356130316539).

The spelling of 1334130002208 in words is "one trillion, three hundred thirty-four billion, one hundred thirty million, two thousand, two hundred eight".