1334861414271 has 288 divisors, whose sum is σ = 2733039429120. Its totient is φ = 616954060800.

The previous prime is 1334861414269. The next prime is 1334861414279. The reversal of 1334861414271 is 1724141684331.

1334861414271 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 8 + 614 + 1 + 4 + 27 + 1 = 666.

It is not a de Polignac number, because 1334861414271 - 2¹ = 1334861414269 is a prime.

It is a super-2 number, since 2×1334861414271² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334861414279) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1380414630 + ... + 1380415596.

It is an arithmetic number, because the mean of its divisors is an integer number (9489720240).

Almost surely, 2^{1334861414271} is an apocalyptic number.

1334861414271 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1334861414271 is an abundant number, since it is smaller than the sum of its proper divisors (1398178014849).

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

1334861414271 is a wasteful number, since it uses less digits than its factorization.

1334861414271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1905 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 1334861414271 in words is "one trillion, three hundred thirty-four billion, eight hundred sixty-one million, four hundred fourteen thousand, two hundred seventy-one".