11134453440 has 224 divisors, whose sum is σ = 38680436736. Its totient is φ = 2691235840.

The previous prime is 11134453423. The next prime is 11134453457. The reversal of 11134453440 is 4435443111.

It is an interprime number because it is at equal distance from previous prime (11134453423) and next prime (11134453457).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11134453398 and 11134453407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4043104 + ... + 4045856.

Almost surely, 2^11134453440 is an apocalyptic number.

11134453440 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 11134453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19340218368).

11134453440 is an abundant number, since it is smaller than the sum of its proper divisors (27545983296).

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

11134453440 is a wasteful number, since it uses less digits than its factorization.

11134453440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3167 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 11134453440 its reverse (4435443111), we get a palindrome (15569896551).

The spelling of 11134453440 in words is "eleven billion, one hundred thirty-four million, four hundred fifty-three thousand, four hundred forty".