113224405440 has 112 divisors (see below), whose sum is σ = 359862193152. Its totient is φ = 30161703936.

The previous prime is 113224405439. The next prime is 113224405453. The reversal of 113224405440 is 44504422311.

It is a super-4 number, since 4×113224405440⁴ (a number of 45 digits) contains 4444 as substring.

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 = 113224405398 and 113224405407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 867337 + ... + 989303.

It is an arithmetic number, because the mean of its divisors is an integer number (3213055296).

Almost surely, 2^113224405440 is an apocalyptic number.

113224405440 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 113224405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179931096576).

113224405440 is an abundant number, since it is smaller than the sum of its proper divisors (246637787712).

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

113224405440 is a wasteful number, since it uses less digits than its factorization.

113224405440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122954 (or 122944 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 113224405440 its reverse (44504422311), we get a palindrome (157728827751).

The spelling of 113224405440 in words is "one hundred thirteen billion, two hundred twenty-four million, four hundred five thousand, four hundred forty".