13414040761 has 9 divisors (see below), whose sum is σ = 14745759343. Its totient is φ = 12193424320.

The previous prime is 13414040747. The next prime is 13414040779. The reversal of 13414040761 is 16704041431.

The square root of 13414040761 is 115819.

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., 10853680761 + 2560360000 = 104181^2 + 50600^2 .

It is not a de Polignac number, because 13414040761 - 2⁵ = 13414040729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13414010761) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1268745 + ... + 1279273.

Almost surely, 2^13414040761 is an apocalyptic number.

13414040761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13414040761 is the 115819-th square number.

13414040761 is the 57910-th centered octagonal number.

It is an amenable number.

13414040761 is a deficient number, since it is larger than the sum of its proper divisors (1331718582).

13414040761 is an frugal number, since it uses more digits than its factorization.

13414040761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21080 (or 10540 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The spelling of 13414040761 in words is "thirteen billion, four hundred fourteen million, forty thousand, seven hundred sixty-one".