11414311440 has 160 divisors (see below), whose sum is σ = 41425848576. Its totient is φ = 2545336320.

The previous prime is 11414311423. The next prime is 11414311457. The reversal of 11414311440 is 4411341411.

It is an interprime number because it is at equal distance from previous prime (11414311423) and next prime (11414311457).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11414311440.

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 31 ways as a sum of consecutive naturals, for example, 13977 + ... + 151736.

Almost surely, 2^11414311440 is an apocalyptic number.

11414311440 is a gapful number since it is divisible by the number (10) 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 11414311440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20712924288).

11414311440 is an abundant number, since it is smaller than the sum of its proper divisors (30011537136).

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

11414311440 is a wasteful number, since it uses less digits than its factorization.

11414311440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165777 (or 165771 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 11414311440 its reverse (4411341411), we get a palindrome (15825652851).

The spelling of 11414311440 in words is "eleven billion, four hundred fourteen million, three hundred eleven thousand, four hundred forty".