11403411430411 has 128 divisors (see below), whose sum is σ = 16204624128000. Its totient is φ = 7728293928960.

The previous prime is 11403411430409. The next prime is 11403411430457.

11403411430411 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11403411430411 - 2¹ = 11403411430409 is a prime.

It is a super-3 number, since 3×11403411430411³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11403411430411.

It is not an unprimeable number, because it can be changed into a prime (11403411433411) 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 127 ways as a sum of consecutive naturals, for example, 2816350515 + ... + 2816354563.

It is an arithmetic number, because the mean of its divisors is an integer number (126598626000).

Almost surely, 2^{11403411430411} is an apocalyptic number.

11403411430411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11403411430411 is a deficient number, since it is larger than the sum of its proper divisors (4801212697589).

11403411430411 is a wasteful number, since it uses less digits than its factorization.

11403411430411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4869.

The product of its (nonzero) digits is 2304, while the sum is 28.

It can be divided in two parts, 1140341 and 1430411, that added together give a palindrome (2570752).

The spelling of 11403411430411 in words is "eleven trillion, four hundred three billion, four hundred eleven million, four hundred thirty thousand, four hundred eleven".