11411431444 has 108 divisors (see below), whose sum is σ = 24321469536. Its totient is φ = 4670611008.

The previous prime is 11411431433. The next prime is 11411431501. The reversal of 11411431444 is 44413411411.

It is a happy number.

It is a super-2 number, since 2×11411431444² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17637129 + ... + 17637775.

It is an arithmetic number, because the mean of its divisors is an integer number (225198792).

Almost surely, 2^11411431444 is an apocalyptic number.

11411431444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11411431444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12160734768).

11411431444 is an abundant number, since it is smaller than the sum of its proper divisors (12910038092).

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

11411431444 is a wasteful number, since it uses less digits than its factorization.

11411431444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 792 counting only the distinct ones).

The product of its digits is 3072, while the sum is 28.

Adding to 11411431444 its reverse (44413411411), we get a palindrome (55824842855).

The spelling of 11411431444 in words is "eleven billion, four hundred eleven million, four hundred thirty-one thousand, four hundred forty-four".