1334720400601 has 27 divisors (see below), whose sum is σ = 1564415677503. Its totient is φ = 1135429822800.

The previous prime is 1334720400547. The next prime is 1334720400613. The reversal of 1334720400601 is 1060040274331.

The square root of 1334720400601 is 1155301.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1315253454025 + 19466946576 = 1146845^2 + 139524^2 .

It is not a de Polignac number, because 1334720400601 - 2⁷ = 1334720400473 is a prime.

It is a super-3 number, since 3×1334720400601³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1334720406601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1221152611 + ... + 1221153703.

It is an arithmetic number, because the mean of its divisors is an integer number (57941321389).

Almost surely, 2^{1334720400601} is an apocalyptic number.

1334720400601 is the 1155301-st square number.

1334720400601 is the 577651-st centered octagonal number.

It is an amenable number.

1334720400601 is a deficient number, since it is larger than the sum of its proper divisors (229695276902).

1334720400601 is an frugal number, since it uses more digits than its factorization.

1334720400601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

Adding to 1334720400601 its reverse (1060040274331), we get a palindrome (2394760674932).

The spelling of 1334720400601 in words is "one trillion, three hundred thirty-four billion, seven hundred twenty million, four hundred thousand, six hundred one".