11413400431411 has 8 divisors (see below), whose sum is σ = 12456965486448. Its totient is φ = 10370832576000.

The previous prime is 11413400431369. The next prime is 11413400431429.

11413400431411 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11413400431411 - 2²⁷ = 11413266213683 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11413400431411.

It is not an unprimeable number, because it can be changed into a prime (11413400531411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 249275970 + ... + 249321751.

It is an arithmetic number, because the mean of its divisors is an integer number (1557120685806).

Almost surely, 2^{11413400431411} is an apocalyptic number.

11413400431411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11413400431411 is a deficient number, since it is larger than the sum of its proper divisors (1043565055037).

11413400431411 is a wasteful number, since it uses less digits than its factorization.

11413400431411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498599813.

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

It can be divided in two parts, 11413400 and 431411, that added together give a palindrome (11844811).

The spelling of 11413400431411 in words is "eleven trillion, four hundred thirteen billion, four hundred million, four hundred thirty-one thousand, four hundred eleven".